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Popular >

simplify 36^{32^{-5^{-1}}}

Solution

simplify

3 6^{3 2^{- 5^{- 1}}}

Solution

6

Solution steps

3 6^{3 2^{- 5^{- 1}}}

3 2^{- 5^{- 1}} = \frac{1}{2}

= 3 6^{\frac{1}{2}}

Factor the number:

36 = 6^{2}

= (6^{2})^{\frac{1}{2}}

Apply exponent rule:

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

= 6^{2 \cdot \frac{1}{2}}

2 \cdot \frac{1}{2} = 1

= 6^{1}

Apply exponent rule:

a^{1} = a

= 6

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Frequently Asked Questions (FAQ)

What is 36^{32^{-5^{-1}}} ?
The solution to 36^{32^{-5^{-1}}} is 6