Which expression is equivalent to

Question

2 years ago

7

rmula1" title="5^{4} x (5-^{2} )^{3}" alt="5^{4} x (5-^{2} )^{3}" align="absmiddle" class="latex-formula">

1 answer:

slava [35] · Answer 1 · 2023-12-30T01:45:40+03:00

The simplified expression of 5^4 * 5^-6 is 5^-2

<h3>How to evaluate the expression?</h3>

The expression is given as

5^4 * (5^-2)^3

Evaluate the product of exponents

So, we have

5^4 * 5^-6

The base of the above expression are the same

i.e. Base = 5

This means that we can apply the law of indices

So, we have

5^4 * 5^-6 = 5^(4 -6)

Evaluate the sum in the above equation

So, we have

5^4 * 5^-6 = 5^(4 -6)

Evaluate the difference in the above equation

So, we have

5^4 * 5^-6 = 5^-2

Hence, the simplified expression of the expression given as 5^4 * 5^-6 is 5^-2