Question

which expression is equivalent to 5^4 × (5^-3)^2?

Answer 1

Answer:

5^-2 or 1/25

Step-by-step explanation:

use index laws.

1. (A^m)^n = a^mn

5^4 x (5^-3)^2=
5^4 x 5^-6

2. A^m x A^n = A^m+n

5^4 x 5^-6

5^-2=
1/5²=
1/25

Answer 2

Answer:

$5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}$

Step-by-step explanation:

$5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}$

We can write:

$5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}$