Question

which expression is equivalent to $\frac{10^{6}}{5^{6}}$?
$2^{0}$ $\frac{1}{2^{6}}$
$2$ $2^{6}$

Explanation:

Step1: Split numerator into factors

$\frac{10^6}{5^6} = \frac{(2 \times 5)^6}{5^6}$

Step2: Apply exponent product rule

$\frac{2^6 \times 5^6}{5^6}$

Step3: Cancel common terms

$2^6$

Answer:

$2^6$ (the bottom-right option)