16.12.2020

In exponential form, the expression √x is equivalent to

0

09.07.2023, solved by verified expert

x^1/2

Step-by-step explanation:

x^1/2 = x squared, just like

x^1/3 =

Hope this helps!

Faq

Mathematics

x^1/2

Step-by-step explanation:

x^1/2 = x squared, just like

x^1/3 =

Hope this helps!

StudenGPT
Sure, let's go through this problem step by step:

1. In the first five days, Organism A's population doubles each day. Therefore, with each passing day, the rate of growth is multiplied by 2. Since this process happens for 5 days, we can represent the growth as an exponential expression 2^5. This indicates that organism A's population size has grown 32 times its initial size.

2. Over the next 3 days, the population of Organism A decreases by half each day due to a virus. This can be written as (2^(-1))^3, which indicates dividing the population by 2 each day. Simplifying the exponent gives 2^(-3), meaning the population would be 1/8 of what it was at the end of day 5.

3. To get the total change in organism A's population over the 8 days, we combine the increase (2^5) and decrease (2^-3). We do that by multiplying these two together: 2^5 * 2^(-3). Using the rule of multiplying with the same base, we add the exponents: 2^(5-3) = 2^2. So, the population of organism A increases by a factor of 4 times its initial size over the 8-day period.

4. Organism B's population doubles every day for 8 days and isn't affected by the virus. The exponential expression representing this growth is 2^8. This means organism B's population size has grown 256 times its initial size.

5. To find the size difference between organism B's and A's population after 8 days, we divide the population size of organism B by that of organism A. That gives us 2^8 / 2^2. Using the rule of division with the same base, we subtract the exponents: 2^(8-2) = 2^6. As a number not in exponential form, that's 64.

So, Organism B's population is 64 times larger than organism A's after 8 days.

Remember to carefully follow all the advised steps such as double-checking work at each step, careful cancellation of terms in fractions, paying close attention to signs, verifying the final answer and accuracy in factoring expressions.
Mathematics
The complete question in the attached figure

we know that
To multiply powers with the same base, keep the base and adds the exponent
so
Part 1)

Part 2)

Part 3)

Part 4)

Mathematics

Part A: Exponential equation is the "opposite" of logarithmic equation, so:

Part B: Using log with base c:

Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:

Solving for y:

Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform

into

Part D:

Change of base will be:

Solving:

=

=

=

=

= 3

Part E:

Using change of base:

≈ 3

Mathematics

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-1 and 1/3

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Step-by-step explanation:

----------------------------------------------------------------------------------------------------------------

This is for people with the question;

In the following algebraic expression, determine the coefficients.

-x-12+3/y

---------------------------------------------------------------------------------------------------------------

Also Theres Proof ↓  [all the Way Down - Screenshot]

----------------------------------------------------------------------------------------------------------------

Message~

Hope

you

have

an

✧・ﾟ: *✧・ﾟ:* Amazing*:・ﾟ✧*:・ﾟ✧

Day~

( ˙ ˘ ˙)βෆ

----------------------------------------------------------------------------------------------------------------

Mathematics
The complete question in the attached figure

we know that
To multiply powers with the same base, keep the base and adds the exponent
so
Part 1)

Part 2)

Part 3)

Part 4)

Mathematics

1/ n^4

Step-by-step explanation:

n^-4

We know that a negative exponent in the numerator moves it to the denomintor

a^-b = 1/a^b

n^-4 = 1/ n^4

Mathematics

----------------------------------------------------------------------------------------------------------------

-1 and 1/3

----------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

----------------------------------------------------------------------------------------------------------------

This is for people with the question;

In the following algebraic expression, determine the coefficients.

-x-12+3/y

---------------------------------------------------------------------------------------------------------------

Also Theres Proof ↓  [all the Way Down - Screenshot]

----------------------------------------------------------------------------------------------------------------

Message~

Hope

you

have

an

✧・ﾟ: *✧・ﾟ:* Amazing*:・ﾟ✧*:・ﾟ✧

Day~

( ˙ ˘ ˙)βෆ

----------------------------------------------------------------------------------------------------------------

Mathematics

See below

Step-by-step explanation:

Write the following expression in radical form

(8x)¹/² =

Write the following expression in exponential form.

= 19¹/²
Mathematics

The value of x is 20.

Step-by-step explanation:

since on expanding the expression we are given the following steps.

we just need to find the value of 'x'.

step 1:   Express 4 factors of as

step 2:     Expand the expression: –2 ×–2 ×–2 ×–2×d^5×d^5×d^5×d^5

step 3:       Simplify to the exponential form:  (–2)^4∙ (d^5)^4

step 4:        Evaluate the base 2 power:   16 ∙ (d^5)^4 ( as   -2×-2×-2×-2=16)

step 5:        Apply the power of a power: 16d^20  ( As

Hence the value of x is: 20.

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