Thorough with exponent rules?

Algebra Level 1

Which of the following does the given expression be equal to?

$\Large\left(2^8\right)^2 \ = \ \ ?$

2^{64}

2^{10}

2^{16}

2^{128}

2 solutions

Abdur Rehman Zahid
Mar 29, 2016

By the rules of exponents , $(a^b)^c=a^{bc}$ for real numbers $a,b,c$ .Hence: $(2^8)^2=2^{8\times 2}=\boxed{2^{16}}$

Mohammad Farhat
Aug 22, 2018

$\left(2^8\right)^2$ = $2^8$ times $2^8$ = $2^{8+8}$ = $2^{16}$