Question
Simplify the exponential: $(2^{5} ÷ 2^{8} )^{5} × 2^{– 5} $
✓
Answer
$(2^{5} ÷ 2^{8} )^{5} \times 2^{– 5} $
=$\left(2^{5-8}\right)^{5} \times 2^{-5}$
= $\left(2^{-3}\right)^{5} \times 2^{-5}=2^{-15-5}=2^{-20}=\frac{1}{2^{20}}$
=$\left(2^{5-8}\right)^{5} \times 2^{-5}$
= $\left(2^{-3}\right)^{5} \times 2^{-5}=2^{-15-5}=2^{-20}=\frac{1}{2^{20}}$
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