Question

Simplify the expression using properties of exponents

Answer 1

Answer:

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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Answer 2

The option (A) is correct after using the properties of the integer exponent.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an expression:

$\rm =\dfrac{\left(10a^{-8}b^{-2}\right)}{4a^3b^5}$

$\rm =\dfrac{5a^{-8}b^{-2}}{2a^3b^5}$

$= \rm \dfrac{5b^{-2}}{2a^{11}b^5}$

$\rm =\dfrac{5}{2a^{11}b^7}$

Thus, the option (A) is correct after using the properties of the integer exponent.

Learn more about the integer exponent here:

brainly.com/question/4533599

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