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Popular >

simplify (15t^9)/((5t^4)^3)

Solution

simplify

\frac{15 t ^{9}}{( 5 t ^{4} ) ^{3}}

Solution

\frac{3}{25 t ^{3}}

Solution steps

\frac{15 t ^{9}}{( 5 t ^{4} ) ^{3}}

Simplify

(5 t^{4})^{3} : 5^{3} t^{12}

= \frac{15 t ^{9}}{5 ^{3} t ^{12}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 t ^{9}}{5 ^{3} t ^{12}}

\frac{5}{5 ^{3}} = \frac{1}{5 ^{2}}

= \frac{3 t ^{9}}{5 ^{2} t ^{12}}

Simplify

\frac{t ^{9}}{t ^{12}} : \frac{1}{t ^{3}}

= \frac{3}{5 ^{2} t ^{3}}

5^{2} = 25

= \frac{3}{25 t ^{3}}

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Frequently Asked Questions (FAQ)

What is (15t^9)/((5t^4)^3) ?
The solution to (15t^9)/((5t^4)^3) is 3/(25t^3)