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Popular >

simplify 7*7^{-5}

Solution

simplify

7 \cdot 7^{- 5}

Solution

\frac{1}{2401}

+1

Decimal Notation

0.00041 \dots

Solution steps

7 \cdot 7^{- 5}

Apply exponent rule:

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

7 \cdot 7^{- 5} = 7^{1 - 5}

= 7^{1 - 5}

Subtract the numbers:

1 - 5 = - 4

= 7^{- 4}

Apply exponent rule:

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

7^{- 4} = \frac{1}{7 ^{4}}

= \frac{1}{7 ^{4}}

7^{4} = 2401

= \frac{1}{2401}

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Frequently Asked Questions (FAQ)

What is 7*7^{-5} ?
The solution to 7*7^{-5} is 1/2401