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Popular >

simplify (1/(3x^{2/3)})^2

Solution

simplify

(\frac{1}{3 x ^{\frac{2}{3}}})^{2}

Solution

\frac{1}{9 x ^{\frac{4}{3}}}

Solution steps

(\frac{1}{3 x ^{\frac{2}{3}}})^{2}

Apply exponent rule:

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

= \frac{1 ^{2}}{( 3 x ^{\frac{2}{3}} ) ^{2}}

1^{2} = 1

= \frac{1}{( 3 x ^{\frac{2}{3}} ) ^{2}}

Simplify

(3 x^{\frac{2}{3}})^{2} : 9 x^{\frac{4}{3}}

= \frac{1}{9 x ^{\frac{4}{3}}}

Popular Examples

simplify 9^{-5/2}simplify

9^{- \frac{5}{2}}

factor x^3+8x^2+21x+18 factor

x^{3} + 8 x^{2} + 21 x + 18

factor 15x^2+17x+4 factor

15 x^{2} + 17 x + 4

∣ u - 2 ∣ \geq 5

-32.8*12+8.5*9*4.5+x=0

- 32.8 \cdot 12 + 8.5 \cdot 9 \cdot 4.5 + x = 0

Frequently Asked Questions (FAQ)

What is (1/(3x^{2/3)})^2 ?
The solution to (1/(3x^{2/3)})^2 is 1/(9x^{4/3)}