(2h)^7(7h)

Question

Simplify. Express using exponents.

Answer 1

Let's first split this expression into two parts. We have the (2h)⁷ and 7h. We need to simplify the (2h)⁷ before we can combine them.

(2h)⁷ = 2⁷*h⁷=128*h⁷=128h^7. In this step the exponent can be distrubed into the parenthese to each individual term.

We can now combine the 7h with what we got in the previous step:

128h⁷*7h=128*7*h⁷*h=896h⁸. As per law of exponents: x^m*xⁿ=x^m+n. 

Hope this helps.