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Popular >

simplify (100/9)^{3/2}

Solution

simplify

(\frac{100}{9})^{\frac{3}{2}}

Solution

\frac{1000}{27}

+1

Decimal Notation

37.03703 \dots

Solution steps

(\frac{100}{9})^{\frac{3}{2}}

Apply exponent rule:

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

= \frac{10 0 ^{\frac{3}{2}}}{9 ^{\frac{3}{2}}}

10 0^{\frac{3}{2}} = 1000

= \frac{1000}{9 ^{\frac{3}{2}}}

9^{\frac{3}{2}} = 27

= \frac{1000}{27}

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Frequently Asked Questions (FAQ)

What is (100/9)^{3/2} ?
The solution to (100/9)^{3/2} is 1000/27