Question

(b^4)^2

Answer 1

simplify ?

Answer 2

if simplification then , b^8

Answer 3

\((b^4)^2\)

Squaring it means multiply it by itself, so you have \((b^4)^2 = (b^4)(b^4)\)

You are multiplying b times itself 4 times by b times itself 4 times;
So \((b^4)(b^4) = (b\cdot b\cdot b\cdot b)(b\cdot b\cdot b\cdot b)\\~~~~~~~~~~~~~~=b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\\~~~~~~~~~~~~~~=\boxed{b^8}\)

Shortcut is adding exponents: \((b^4)(b^4)=b^{4+4}=b^8\)

Shortcut to this entire thing is multiply exponents: \((b^4)^2 = b^{4\cdot2}=\boxed{b^8}\)

Makes sense?