What is ((3m^5r^3)/(4p^8))^4 ?

The solution to ((3m^5r^3)/(4p^8))^4 is (81m^{20}r^{12})/(256p^{32)}

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simplify ((3m^5r^3)/(4p^8))^4

simplify

(\frac{3 m ^{5} r ^{3}}{4 p ^{8}})^{4}

\frac{81 m ^{20} r ^{12}}{256 p ^{32}}

Solution steps

(\frac{3 m ^{5} r ^{3}}{4 p ^{8}})^{4}

Apply exponent rule:

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

= \frac{( 3 m ^{5} r ^{3} ) ^{4}}{( 4 p ^{8} ) ^{4}}

Simplify

(3 m^{5} r^{3})^{4} : 81 m^{20} r^{12}

= \frac{81 m ^{20} r ^{12}}{( 4 p ^{8} ) ^{4}}

Simplify

(4 p^{8})^{4} : 256 p^{32}

= \frac{81 m ^{20} r ^{12}}{256 p ^{32}}

32 x^{3} - 4 x^{2} + 20 x

5 x^{3} + 10 x^{2}

8 n + 12 + (- 9) - (- 6 n)

3 (u + 1) + 2 u = 5 (u - 1) + 5

4 x^{2} = 121

What is ((3m^5r^3)/(4p^8))^4 ?
The solution to ((3m^5r^3)/(4p^8))^4 is (81m^{20}r^{12})/(256p^{32)}