What is (3(x^5)^4)/(12x^5) ?

The solution to (3(x^5)^4)/(12x^5) is (x^{15})/4

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simplify (3(x^5)^4)/(12x^5)

simplify

\frac{3 ( x ^{5} ) ^{4}}{12 x ^{5}}

\frac{x ^{15}}{4}

Solution steps

\frac{3 ( x ^{5} ) ^{4}}{12 x ^{5}}

Simplify

(x^{5})^{4} : x^{20}

= \frac{3 x ^{20}}{12 x ^{5}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 x ^{20}}{3 \cdot 4 x ^{5}}

Cancel the common factor:

3

= \frac{x ^{20}}{4 x ^{5}}

Simplify

\frac{x ^{20}}{x ^{5}} : x^{15}

= \frac{x ^{15}}{4}

4 cos^{2} (2 x) + 4 sin^{2} (2 x)

b^{4} (3 a b^{3}) (a^{2} b^{- 5})

4 (x + 2)

a + a + 1 + a + 2

[(2 ab)^{3}]^{2}