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Popular >

simplify (7^2)/(7^5)

Solution

simplify

\frac{7 ^{2}}{7 ^{5}}

Solution

\frac{1}{343}

+1

Decimal Notation

0.00291 \dots

Solution steps

\frac{7 ^{2}}{7 ^{5}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 7^{2 - 5}

Subtract the numbers:

2 - 5 = - 3

= 7^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{7 ^{3}}

7^{3} = 343

= \frac{1}{343}

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Frequently Asked Questions (FAQ)

What is (7^2)/(7^5) ?
The solution to (7^2)/(7^5) is 1/343