Question

Use the exponent laws to simplify each of the following until you have only a single power.

2^4 x (4^5/4^2)
--------------
(6+7^-3)^0

Answer 1

Lets do the numerator first
2^4 (4^5/4^2)

2^4(4^5-2)

2^4(4^3)

2^4(2^6)

2^10

Now for the denominator
Anything raised to 0 =1

So our answer would be

2^10

Answer 2

The laws involved here are:
When you divide exponents with the same base... you subtract them
When you multiply exponents with the same base...you add them
When an exponent is raised to another exponent...you multiply them
Anything raised to 0 = 1

Answer 3

great thank you!