Question

Simplify (2-^5 ÷ 2-^2)

Answer 1

${2}^{ - 5} \div {2}^{ - 2} \\ \\ = \frac{1}{ {2}^{5} } \div \frac{1}{ {2}^{2} } \\ \\ \frac{1}{ {2}^{5} } \times \frac{ {2}^{2} }{1} \\ \\ = \frac{1}{ {2}^{3} } = {2}^{ - 3}$

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Answer 2

Answer:

1/8

Step-by-step explanation:

by laws of exponents we get that

when

aᵇ÷aⁿ= aᵇ⁻ⁿ

so in the question it is given 2⁻⁵ ÷ 2⁻²=2⁻⁵⁻⁽⁻²⁾=2⁻⁵⁺²=2⁻³ now 2⁻³= 1/2³= 1/8

answer is 1/8

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