Question

Someone please HELP!?

Answer 1

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.

For example


`x^(-2)=(1)/(x^2)`

or


`( (2)/(5) )^(-4)=( (5)/(2) )^4`

***************************************

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


`(8* (1)/(r^5) )^(-3) \\\\( (8)/(r^5) )^(-3) \\ \\ ( (r^5)/(8) )^3 \\\\ \mathrm{Apply\:exponent\:rule}:\quad *\left((a)/(b)\right)^c=(a^c)/(b^c) \ \ \ \ \ \ \ \ \ \ \ \ *(a^b)^c=a^(bc) \\\\( (r^(15))/(8^3) ) \\\\( (r^(15))/(512) )`

The answer is "D"