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Popular >

simplify (x^3-3/(x^3))^7

Solution

simplify

(x^{3} - \frac{3}{x ^{3}})^{7}

Solution

\frac{( x ^{6} - 3 ) ^{7}}{x ^{21}}

Solution steps

(x^{3} - \frac{3}{x ^{3}})^{7}

Join

x^{3} - \frac{3}{x ^{3}} : \frac{x ^{6} - 3}{x ^{3}}

= (\frac{x ^{6} - 3}{x ^{3}})^{7}

Apply exponent rule:

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

= \frac{( x ^{6} - 3 ) ^{7}}{( x ^{3} ) ^{7}}

Simplify

(x^{3})^{7} : x^{21}

= \frac{( x ^{6} - 3 ) ^{7}}{x ^{21}}

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Frequently Asked Questions (FAQ)

What is (x^3-3/(x^3))^7 ?
The solution to (x^3-3/(x^3))^7 is ((x^6-3)^7)/(x^{21)}