What is (3(a^3)^4)/(15a^4) ?

The solution to (3(a^3)^4)/(15a^4) is (a^8)/5

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simplify (3(a^3)^4)/(15a^4)

simplify

\frac{3 ( a ^{3} ) ^{4}}{15 a ^{4}}

\frac{a ^{8}}{5}

Solution steps

\frac{3 ( a ^{3} ) ^{4}}{15 a ^{4}}

Simplify

(a^{3})^{4} : a^{12}

= \frac{3 a ^{12}}{15 a ^{4}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 a ^{12}}{3 \cdot 5 a ^{4}}

Cancel the common factor:

3

= \frac{a ^{12}}{5 a ^{4}}

Simplify

\frac{a ^{12}}{a ^{4}} : a^{8}

= \frac{a ^{8}}{5}

a + \frac{3}{4}

- 4 \cdot 12

x^{4} - 22 x^{2} - 75

2 (r + 7)

\frac{4}{z ^{5}}