Question

which single power is equivalent to the expression \\(\frac{(4^{3})^{2}}{4^{2}}\\)? \\(4^{3}\\) \\(4^{4}\\) \\(4^{7}\\) \\(4^{8}\\)

Explanation:

Step1: Apply power of a power rule

$(4^3)^2 = 4^{3\times2}=4^6$

Step2: Apply quotient of powers rule

$\frac{4^6}{4^2}=4^{6-2}$

Step3: Calculate the exponent

$4^{6-2}=4^4$

Answer:

$4^4$