Question

State whether the following statement is true or false

${(2^3\times 2)}^2$=$2^8$

• A. True
• B. False

Answer 1

The correct option is A True

We know that $a^b\times a^c=a^{b+c}$ and $(a^b{)}^c=a^{bc}$. Using these properties:

$LHS=(2^3\times 2{)}^2=(2^{3+1}{)}^2(2^4{)}^2=2^8=RHS$