How do you simplify # (2a^-3)(a^7b^-1)^3#?

1 Answer
Jun 19, 2017

Answer:

The answer is #(2a^18)/b^3#. See the process below!

Explanation:

1. Distribute the exponent of 3 - multiply every exponent inside the parentheses by 3.

#(2a^-3)(a^21b^-3)#

2. Simplify by multiplying the same factors together.
Remember, when multiplying powers with the same base, you add the exponents.

#2a^18b^-3#

We should give answers with positive indices. So now

#(2a^18)/b^3#

That's your final answer!