Question

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

Answer 1

Answer:

$\frac{r^{15}}{512}$

Step-by-step 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

$8^{-3}r^{15}= \frac{r^{15}}{8^3} =\frac{r^{15}}{512}$

Answer 2

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