Question

Which expressions are equivalent to 5^12 x 5^8? A. 25^20 B. (25^5)^4 C. (5^3 x 5^2)^4 D. (5^5)^4

Answer 1

Hey there! I'm happy to help!

When multiplying numbers with exponents, all you do is add the exponent numbers, so 5^12×5^8=5^20.

A is not equal to this.

B is also not equal to this. B is 25^20.

C is  wrong as well. It is 5^5.

This leaves us with D, which does evaluate to 5^20. If you raise a power to a power you multiply the exponent numbers, and 5(4)=20.

The answer is D. (5^5)^4.

Have a wonderful day! :D

Answer 2

5^12 * 5^8

5^12+8

5^20

The only option that is equal to that is D.

(5^5)^4

5^5*4

5^20

Best of Luck!