How do you simplify (a ^ { 4} b ) ^ { 2}?

3 Answers
Jun 21, 2017

a^8b^2

Explanation:

Given -

(a^4b)^2

(a^4)^2(b)^2

a^8b^2

Jun 21, 2017

a^8*b^2

Explanation:

(a^4*b)^2

To solve this, you distribute the exponent to both terms.

a^(4*2) * b^2

Simplify the exponents.

Answer: a^8*b^2

Jun 21, 2017

(a^4b)^2=color(blue)(a^8b^2

Explanation:

Simplify:

(a^4b)^2

Apply the power rule of exponents: (a^m)^n=a^(m*n).

a^(4*2)b^(1*2)

Simplify.

a^8b^2