Question

Which expression shows the simplified form of (8r^-5) -3 ?

Answer 1

`(8r^(-5))^(-3)=8^(-3)r^(-5(-3))= \cfrac{r^(15)}{8^3}= \cfrac{r^(15)}{512}`

Answer 2

`(r^(15))/(512)`

Explanation:

(8r^-5)^ -3

`(8r^(-5))^{-3)`

Apply exponential property

(ab^m) ^n = a^m b^mn

Multiply the outside exponent with the exponents insde

`(8r^(-5))^{-3)= 8^(-3)r^(-5*-3)=8^(-3)r^(15)`

Appy property a^-m = 1/a^m to make the exponent positive

`8^(-3)r^(15)= (r^(15))/(8^3) =(r^(15))/(512)`