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Popular >

simplify (((-3/2)^5)^0)^{-4}

Solution

simplify

((- \frac{3}{2})^{5})^{0}^{- 4}

Solution

1

Solution steps

((- \frac{3}{2})^{5})^{0}^{- 4}

Apply exponent rule:

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

= \frac{1}{( ( ( - \frac{3}{2} ) ^{5} ) ^{0} ) ^{4}}

Apply rule

a^{0} = 1, a \neq = 0

((- \frac{3}{2})^{5})^{0} = 1

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

Apply rule

1^{a} = 1

= \frac{1}{1}

Apply rule

\frac{a}{1} = a

= 1

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Frequently Asked Questions (FAQ)

What is (((-3/2)^5)^0)^{-4} ?
The solution to (((-3/2)^5)^0)^{-4} is 1