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Popular >

simplify (1/x+2x^2)^4

Solution

simplify

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

Solution

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

Solution steps

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

Join

\frac{1}{x} + 2 x^{2} : \frac{2 x ^{3} + 1}{x}

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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