What is ((-1+4x^{2/3})/(4x^{1/3)})^2 ?

The solution to ((-1+4x^{2/3})/(4x^{1/3)})^2 is ((-1+4x^{2/3})^2)/(16x^{2/3)}

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simplify ((-1+4x^{2/3})/(4x^{1/3)})^2

simplify

(\frac{- 1 + 4 x ^{\frac{2}{3}}}{4 x ^{\frac{1}{3}}})^{2}

\frac{( - 1 + 4 x ^{\frac{2}{3}} ) ^{2}}{16 x ^{\frac{2}{3}}}

Solution steps

(\frac{- 1 + 4 x ^{\frac{2}{3}}}{4 x ^{\frac{1}{3}}})^{2}

Apply exponent rule:

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

= \frac{( - 1 + 4 x ^{\frac{2}{3}} ) ^{2}}{( 4 x ^{\frac{1}{3}} ) ^{2}}

Simplify

(4 x^{\frac{1}{3}})^{2} : 16 x^{\frac{2}{3}}

= \frac{( - 1 + 4 x ^{\frac{2}{3}} ) ^{2}}{16 x ^{\frac{2}{3}}}

2 x^{3} + x^{2} - 7 x - 6

23 \cdot 3

3 = x 3

3^{\frac{4}{3}}

x^{3} + 4 x^{2} - 5 x - 20

What is ((-1+4x^{2/3})/(4x^{1/3)})^2 ?
The solution to ((-1+4x^{2/3})/(4x^{1/3)})^2 is ((-1+4x^{2/3})^2)/(16x^{2/3)}