26.09.2020

simplify the expression using properties of exponents

. 4

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Mathematics
Step-by-step answer
P Answered by PhD

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

- x - 8

Hope This Helps :)

Mathematics
Step-by-step answer
P Answered by PhD

a^n\cdot a^m=a^{n+m}\\\\-16a^{-3}b^{-5}\cdot2a^{-4}b^2=(-16\cdot2)(a^{-3}a^{-4})(b^{-5}b^2})\\\\=-32a^{-3+(-4)}b^{-5+2}=\boxed{-32a^{-7}b^{-3}}

Mathematics
Step-by-step answer
P Answered by PhD

Option A

Step-by-step explanation:

This is because whenever you have a negative exponent, you put it to the reciporical value of it.  If you have two same exponenet bases, you add them up.

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Mathematics
Step-by-step answer
P Answered by PhD

D

Step-by-step explanation:

Using the rule of exponents

\frac{a^{n} }{a^{m} } = \frac{1}{a^{(m-n)} }

Given

\frac{25a^{-5}b^{-8}  }{5a^{4}b }

= \frac{25}{5} × \frac{a^{-5} }{a^{4} } × \frac{b^{-8} }{b^{1} }

= 5 × \frac{1}{a^{(4-(-5))} } × \frac{1}{b^{(1-(-8))} }

= 5 × \frac{1}{a^{9} } × \frac{1}{b^{9} }

= \frac{5}{a^{9}b^{9}  } → D

Mathematics
Step-by-step answer
P Answered by PhD

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

- x - 8

Hope This Helps :)

Mathematics
Step-by-step answer
P Answered by PhD

\dfrac{12a^{-9}b^{-4}}{9a^2b^6}=\dfrac{12:3}{9:3}a^{-9-2}b^{-4-6}=\dfrac{4}{3}a^{-11}b^{-10}\\\\=\boxed{\dfrac{4}{3a^{11}b^{10}}}\to \boxed{B.}\\\\\text{used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}

Mathematics
Step-by-step answer
P Answered by Specialist
Right answer shows with “simplify expression”
Simplify the expression using properties of exponents. 12a-9b-4/9a2b6
Mathematics
Step-by-step answer
P Answered by PhD

Option A

Step-by-step explanation:

This is because whenever you have a negative exponent, you put it to the reciporical value of it.  If you have two same exponenet bases, you add them up.

Please mark for Brainliest

For more questions or more information, please comment below!

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

\frac{1}{4} \: log_4 16 \\  \\  =  \frac{1}{4} \: log_4  {4}^{2}  \\  \\  = \frac{1}{4}  \times 2\: log_4  {4} \\  \\ = \frac{1}{4}  \times 2\:  \times 1 \\  \\  =  \frac{1}{2}  \\  \\   \huge \blue{ \boxed{\therefore \:  \frac{1}{4} \: log_4 16=  \frac{1}{2} }}\\

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

\frac{1}{4} \: log_4 16 \\  \\  =  \frac{1}{4} \: log_4  {4}^{2}  \\  \\  = \frac{1}{4}  \times 2\: log_4  {4} \\  \\ = \frac{1}{4}  \times 2\:  \times 1 \\  \\  =  \frac{1}{2}  \\  \\   \huge \blue{ \boxed{\therefore \:  \frac{1}{4} \: log_4 16=  \frac{1}{2} }}\\

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