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Popular >

simplify (12t^5)/((4t^2)^4)

Solution

simplify

\frac{12 t ^{5}}{( 4 t ^{2} ) ^{4}}

Solution

\frac{3}{64 t ^{3}}

Solution steps

\frac{12 t ^{5}}{( 4 t ^{2} ) ^{4}}

Simplify

(4 t^{2})^{4} : 4^{4} t^{8}

= \frac{12 t ^{5}}{4 ^{4} t ^{8}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 t ^{5}}{4 ^{4} t ^{8}}

\frac{4}{4 ^{4}} = \frac{1}{4 ^{3}}

= \frac{3 t ^{5}}{4 ^{3} t ^{8}}

Simplify

\frac{t ^{5}}{t ^{8}} : \frac{1}{t ^{3}}

= \frac{3}{4 ^{3} t ^{3}}

4^{3} = 64

= \frac{3}{64 t ^{3}}

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Frequently Asked Questions (FAQ)

What is (12t^5)/((4t^2)^4) ?
The solution to (12t^5)/((4t^2)^4) is 3/(64t^3)