Evaluate (2^{3} )^{5} using the power of a power property:

(A) 2^{8}

(B) 2^{15}

(C) 2^{3}×5^{3}

(D) 2^{-2}

The power of a power property states that (a^{n} )^{m}=a^{nm},

(2^{3} )^{5 } =2^{15}

So (B) is the correct answer.