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

1 Answer
Ryuu
Sep 26, 2017

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 :)

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