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

Question

1092 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-21T05:41:55

#a^8b^2#

Given -

#(a^4b)^2#

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

#a^8b^2#

Answer 2 · 2017-06-21T05:42:00

#a^8*b^2#

#(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#

Answer 3 · 2017-06-21T05:43:16

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

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#