Question

(8a^3b^4)^2 simplify

Answer 1

Answer:
`(64a^(6)\;b^(8))`

Explanation:

To simplify this expression, we will use exponent rules. Here, we can use the Power of a Power Property. This states that a power raised to another power results in the exponents being multiplied together. We then must also raise the numbers to the given power as everything must be distributed.

Given:

`(8a^3b^4)^2`

Power of a Power Property:

`(8^2a^(3*2)\;b^(4*2))`

Simplify:

`(64a^(6)\;b^(8))`