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

Step-by-step explanation:

We apply the properties of the power.

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.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!