Prove the divisibility:

45^45·15^15 by 75^30

.

Step-by-step explanation:

We have been an division problem: .

We will simplify our division problem using rules of exponents.

Using product rule of exponents we can write:

Substituting these values in our division problem we will get,

Using power rule of exponents we will get,

Using product rule of exponents we will get,

Using power rule of exponents we will get,

Using quotient rule of exponent we will get,

Therefore, our resulting quotient will be .

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: