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Popular >

simplify 7^{-3}*7^2

Solution

simplify

7^{- 3} \cdot 7^{2}

Solution

\frac{1}{7}

+1

Decimal Notation

0.14285 \dots

Solution steps

7^{- 3} \cdot 7^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

7^{- 3} \cdot 7^{2} = 7^{- 3 + 2}

= 7^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= 7^{- 1}

Apply exponent rule:

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

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

= \frac{1}{7}

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Frequently Asked Questions (FAQ)

What is 7^{-3}*7^2 ?
The solution to 7^{-3}*7^2 is 1/7