What is ((81y^{16})/(16x^{12)})^{1/4} ?

The solution to ((81y^{16})/(16x^{12)})^{1/4} is (3y^4)/(2x^3)

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simplify ((81y^{16})/(16x^{12)})^{1/4}

simplify

(\frac{81 y ^{16}}{16 x ^{12}})^{\frac{1}{4}}

\frac{3 y ^{4}}{2 x ^{3}}

Solution steps

(\frac{81 y ^{16}}{16 x ^{12}})^{\frac{1}{4}}

Apply exponent rule:

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

= \frac{( 81 y ^{16} ) ^{\frac{1}{4}}}{( 16 x ^{12} ) ^{\frac{1}{4}}}

Simplify

(81 y^{16})^{\frac{1}{4}} : 3 y^{4}

= \frac{3 y ^{4}}{( 16 x ^{12} ) ^{\frac{1}{4}}}

Simplify

(16 x^{12})^{\frac{1}{4}} : 2 x^{3}

= \frac{3 y ^{4}}{2 x ^{3}}

1 + 4

3.5 = - 16 t^{2} + 16 t

- \frac{1}{3} - \frac{1}{5}

- 8 x - 29 = 55 - 12 x

7 x^{2} + 15 x + 2

What is ((81y^{16})/(16x^{12)})^{1/4} ?
The solution to ((81y^{16})/(16x^{12)})^{1/4} is (3y^4)/(2x^3)