196k views
11 votes
Which expression is equivalent to 4^-5 * 4^8

A 4^-2/4^-1

B (4^3)^-1

C 4^2/4^-1

D (4^-1)^3

Which expression is equivalent to 4^-5 * 4^8 A 4^-2/4^-1 B (4^3)^-1 C 4^2/4^-1 D (4^-1)^3-example-1

1 Answer

5 votes

Answer: C

Explanation:


a^(b) * a^(c)=a^(b+c), so
4^(-5) * 4^(8)=4^(-5+8)=4^(3).

The only option that is equal to this is C

User ZdaR
by
4.2k points