Mathematics: simplify 2 to the power of 5 over 3 to the power of 2 to the power of 4

simplify 2 to the power of 5 over 3 to the power, №15173068, 08.01.2021 12:36

Mathematics

Simplify 5 to the power of 5 over 5 to the power of 8 1. 1 over 5 to the power of 3 2. 5 to the power of 3 3. 1 over 25 4. 1 over 5 to the power of negative 3

Step-by-step answer

P Answered by PhD

1

1. 1 over 5 to the power of 3

Step-by-step explanation:

So we simply subtract the exponents. 5 - 8 = -3 and since it is a negative exponent that means it is part of the denominator

$\frac{5^{5} }{5^{8} } = \frac{1}{5^{3} }$

Mathematics

Simplify 5 to the power of 5 over 5 to the power of 8 1. 1 over 5 to the power of 3 2. 5 to the power of 3 3. 1 over 25 4. 1 over 5 to the power of negative 3

Step-by-step answer

P Answered by PhD

1

1. 1 over 5 to the power of 3

Step-by-step explanation:

So we simply subtract the exponents. 5 - 8 = -3 and since it is a negative exponent that means it is part of the denominator

$\frac{5^{5} }{5^{8} } = \frac{1}{5^{3} }$

Mathematics

Simplify 9 to the power of 2 over 9 to the power of 7 someone help please 1. 9 over 5 2. 1 over 9 to the power of 9 3. 1 over 9 to the power of negative 5 4. 1 over the 9 to the power of 5

Step-by-step answer

P Answered by PhD

4. 1 over the 9 to the power of 5

Step-by-step explanation:

When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5

Mathematics

Simplify 9 to the power of 2 over 9 to the power of 7 someone help please 1. 9 over 5 2. 1 over 9 to the power of 9 3. 1 over 9 to the power of negative 5 4. 1 over the 9 to the power of 5

Step-by-step answer

P Answered by PhD

4. 1 over the 9 to the power of 5

Step-by-step explanation:

When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5

Mathematics

Plz on om this test which pair of numbers is 6 a common factor of? 12 and 20 16 and 24 24 and 54 30 and 64 which number is a common factor of 24, 48, and 144? 16 10 9 8 which expression makes the equation true? y to the power of 20 end power equals open parentheses blank close parentheses squared question 3 options: y to the power of 4 y to the power of 5 y to the power of 10 y to the power of 12 which expression makes the equation true? 64 h to the power of 8 end power equals open parentheses blank close parentheses squared question 4 options:

Step-by-step answer

P Answered by Specialist

14

24 and 54

8

y to the power 5

negative 8 and 6

131

2 squared times 13

Mathematics

Plz on om this test which pair of numbers is 6 a common factor of? 12 and 20 16 and 24 24 and 54 30 and 64 which number is a common factor of 24, 48, and 144? 16 10 9 8 which expression makes the equation true? y to the power of 20 end power equals open parentheses blank close parentheses squared question 3 options: y to the power of 4 y to the power of 5 y to the power of 10 y to the power of 12 which expression makes the equation true? 64 h to the power of 8 end power equals open parentheses blank close parentheses squared question 4 options:

Step-by-step answer

P Answered by Master

14

24 and 54

8

y to the power 5

negative 8 and 6

131

2 squared times 13

Mathematics

(01.03 mc) which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y, the whole

Step-by-step answer

P Answered by PhD

20

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Mathematics

Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y, the whole over x to

Step-by-step answer

P Answered by PhD

5

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given is expression below to be simplified:

(xy⁴/x⁻⁵y⁵)⁻³

The step in simplifying is the power of the power, which is equal to product of powers: (xᵃ)ᵇ = xᵃᵇ. So, power of -3 of the whole equals to:

(x⁻³y⁻¹²)/(x¹⁵y⁻¹⁵)

This expression is same as the last option:

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

So, this is the correct one.

Mathematics

Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? (5 points) group of answer choices x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15. x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3

Step-by-step answer

P Answered by PhD

2

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Step-by-step explanation:

Given:

$(\frac{xy^4}{x^{-5}y^5} )^{-3}$

We need to simplify the equation.

As while solving these kind of problems, keep in mind the following Law on Indices:

1. $(a^m)^n=a^{mn}$

Applying the same we get;

$\frac{x^{-3}(y^4)^{-3}}{(x^{-5})^{-3}(y^5)^{-3}}\\\\\frac{x^{-3}y^{4\times-3}}{x^{-5\times-3}y^{5\times-3}} \\\\\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}$

Final

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

Mathematics

(01.03 mc) which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y, the whole

Step-by-step answer

P Answered by PhD

20

x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.

simplify 2 to the power of 5 over 3 to the power of 2 to the power of 4

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