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Popular >

simplify 125^{9^{-4^{-2^{-7^0}}}}

Solution

simplify

12 5^{9^{- 4^{- 2^{- 7^{0}}}}}

Solution

5

Solution steps

12 5^{9^{- 4^{- 2^{- 7^{0}}}}}

9^{- 4^{- 2^{- 7^{0}}}} = \frac{1}{3}

= 12 5^{\frac{1}{3}}

Factor the number:

125 = 5^{3}

= (5^{3})^{\frac{1}{3}}

Apply exponent rule:

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

= 5^{3 \cdot \frac{1}{3}}

3 \cdot \frac{1}{3} = 1

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

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Frequently Asked Questions (FAQ)

What is 125^{9^{-4^{-2^{-7^0}}}} ?
The solution to 125^{9^{-4^{-2^{-7^0}}}} is 5