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Popular >

simplify (-3/2)^5

Solution

simplify

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

Solution

- \frac{243}{32}

+1

Solution steps

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{3}{2})^{5} = \frac{3 ^{5}}{2 ^{5}}

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

3^{5} = 243

= - \frac{243}{2 ^{5}}

2^{5} = 32

= - \frac{243}{32}

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Frequently Asked Questions (FAQ)

What is (-3/2)^5 ?
The solution to (-3/2)^5 is -243/32