Question

Which expression is equivalent to 5^-2 x 5^5

Answer 1

Given the expression:

`5^(-2)\ast5^5`

To find the equivalent expression, let's simplify the expression using power rule.

`a^m\ast a^n=a^(m+n)`

Since they have the same base, we are to add the exponents.

We have:

`5^(-2)\text{ }\ast5^5=5^(-2+5)=5^3`

Therefore, the eqivalent expression is 5³

ANSWER:

`5^3`

We a