Prove divisibility 45^45·15^15 by 75^30

Step-by-step explanation:

We are asked to divide our given fraction: .

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 quotient rule of exponent we will get,

Using product rule of exponents we will get,

Upon canceling out we will get,

Using power rule of exponents we will get,

Therefore, our resulting quotient will be .

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