Question

Simplify the expression where possible. (r^3)^ -2

Answer 1

Answer:

Step-by-step explanation:

We apply the properties of the power.

$\left(r^3 \right)^{-2}=r^{3*(-2)}=r^{-6}=\dfrac{1}{r^6}$

Answer 2

Answer:

r^-6  OR  1 / (r^6)

Step-by-step explanation:

For this expression, we can use exponential power rules to simplify.

Power to a power, you multiply the exponents.

So, (r^3)^-2 == r^-6

We can use the fact that negative exponents will be the base to the power in the denominator.

r^-6 == 1/(r^6)

Cheers.