Question

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

Answer 1

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

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.

Answer 2

Explanation:

We apply the properties of the power.

`\left(r^3 \right)^(-2)=r^(3*(-2))=r^(-6)=(1)/(r^6)`