Question

(Laws of Exponents with Integer Exponents MC)

Answer 1

Answer: 25/8

Step-by-step explanation: i got it right.

I hope this helped

Answer 2

The value of the given expression is 25/1024. Therefore, option B is the correct answer.

The given expression is $\frac{(2^{2})^{-5} }{5^{-2} }$.

We need to evaluate the given expression.

How to solve exponent questions?

Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".

Solving exponential equations using properties of exponents.

Some basic properties are as follows:

1) $a^{m}\times b^{m} =(ab)^{m}$

2) $a^{m}\times a^{n} =(a)^{m+n}$

3) $\frac{a^{m}}{b^{m}} =(\frac{a}{b} )^{m}$

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

Now, $\frac{(2^{2})^{-5} }{5^{-2} }$

$=\frac{2^{-10} }{5^{-2} }=\frac{5^{2} }{2^{10} }$

=25/1024

Therefore, option B is the correct answer.

To learn more about the exponents visit:

brainly.com/question/219134.

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