Question

How do you simplify `(a b ^ { 2} c ^ { 3} ) ^ { 5}`?

Answer 1

Apply the exponent laws.

Explanation:

You expand the `5`th degree to each of the terms within the bracket.

In order to do this correctly, we must apply exponent laws. Only one of the laws are applicable in this example.
=> If we multiply an exponent with another exponent, the two exponents are multiplied. E.g. `(x^n)^m = x^(nm)`.

`(ab^2c^3)^5`

`=a^5b^10c^15`

This is the simplified form.

Hope this helps :)