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Popular >

simplify (6^{-49})^{30}

Solution

simplify

(6^{- 49})^{30}

Solution

\frac{1}{6 ^{1470}}

Solution steps

(6^{- 49})^{30}

Apply exponent rule:

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

= 6^{- 49 \cdot 30}

Multiply the numbers:

49 \cdot 30 = 1470

= 6^{- 1470}

Apply exponent rule:

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

6^{- 1470} = \frac{1}{6 ^{1470}}

= \frac{1}{6 ^{1470}}

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Frequently Asked Questions (FAQ)

What is (6^{-49})^{30} ?
The solution to (6^{-49})^{30} is 1/(6^{1470)}