What is ((-2r^3s)/(3t^4))^6 ?

The solution to ((-2r^3s)/(3t^4))^6 is (64r^{18}s^6)/(729t^{24)}

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simplify ((-2r^3s)/(3t^4))^6

simplify

(\frac{- 2 r ^{3} s}{3 t ^{4}})^{6}

\frac{64 r ^{18} s ^{6}}{729 t ^{24}}

Solution steps

(\frac{- 2 r ^{3} s}{3 t ^{4}})^{6}

Apply exponent rule:

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

= \frac{( - 2 r ^{3} s ) ^{6}}{( 3 t ^{4} ) ^{6}}

Simplify

(- 2 r^{3} s)^{6} : 64 r^{18} s^{6}

= \frac{64 r ^{18} s ^{6}}{( 3 t ^{4} ) ^{6}}

Simplify

(3 t^{4})^{6} : 729 t^{24}

= \frac{64 r ^{18} s ^{6}}{729 t ^{24}}

1. 5^{6}

3.14 \cdot 1 4^{2}

w^{4} - 10 w^{2} + 9

\frac{p ^{2} - 9}{2 p + 6}

- x^{2} - 3 x^{2}

What is ((-2r^3s)/(3t^4))^6 ?
The solution to ((-2r^3s)/(3t^4))^6 is (64r^{18}s^6)/(729t^{24)}