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Popular >

simplify (6^{-3})^5

Solution

simplify

(6^{- 3})^{5}

Solution

\frac{1}{6 ^{15}}

+1

Decimal Notation

2.12682 E - 12

Solution steps

(6^{- 3})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 6^{- 3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= 6^{- 15}

Apply exponent rule:

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

6^{- 15} = \frac{1}{6 ^{15}}

= \frac{1}{6 ^{15}}

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Frequently Asked Questions (FAQ)

What is (6^{-3})^5 ?
The solution to (6^{-3})^5 is 1/(6^{15)}