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Popular >

simplify (1000/27)^{2/3}

Solution

simplify

(\frac{1000}{27})^{\frac{2}{3}}

Solution

\frac{100}{9}

+1

Decimal Notation

11.11111 \dots

Solution steps

(\frac{1000}{27})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{100 0 ^{\frac{2}{3}}}{2 7 ^{\frac{2}{3}}}

100 0^{\frac{2}{3}} = 100

= \frac{100}{2 7 ^{\frac{2}{3}}}

2 7^{\frac{2}{3}} = 9

= \frac{100}{9}

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- \frac{9}{12} - (- \frac{7}{4})

\frac{x}{4} - 2 = 1

Frequently Asked Questions (FAQ)

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