What is (-64/27)^{1/3} ?

The solution to (-64/27)^{1/3} is -4/3

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simplify (-64/27)^{1/3}

simplify

(- \frac{64}{27})^{\frac{1}{3}}

- \frac{4}{3}

Solution steps

(- \frac{64}{27})^{\frac{1}{3}}

Apply exponent rule:

(- a)^{\frac{1}{n}} = - (a)^{\frac{1}{n}},

n

is odd

(- \frac{64}{27})^{\frac{1}{3}} = - (\frac{64}{27})^{\frac{1}{3}}

= - (\frac{64}{27})^{\frac{1}{3}}

Apply exponent rule:

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

(\frac{64}{27})^{\frac{1}{3}} = \frac{6 4 ^{\frac{1}{3}}}{2 7 ^{\frac{1}{3}}}

= - \frac{6 4 ^{\frac{1}{3}}}{2 7 ^{\frac{1}{3}}}

6 4^{\frac{1}{3}} = 4

= - \frac{4}{2 7 ^{\frac{1}{3}}}

2 7^{\frac{1}{3}} = 3

= - \frac{4}{3}

18 y + 5 y^{2} = 35

m^{3} n - m^{2} n^{2} + 5 m n^{3}

7 - 7 x = (4 x + 9) (x - 1)

\frac{12 x y ^{7}}{6 x ^{6} y ^{5}}

- 3.28 - (- 4.4) + (- 9.7)