What is n^{4/5}m^{1/5}p^{4/5} ?

The solution to n^{4/5}m^{1/5}p^{4/5} is m^{1/5}(np)^{4/5}

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simplify n^{4/5}m^{1/5}p^{4/5}

simplify

n^{\frac{4}{5}} m^{\frac{1}{5}} p^{\frac{4}{5}}

m^{\frac{1}{5}} (n p)^{\frac{4}{5}}

Solution steps

n^{\frac{4}{5}} m^{\frac{1}{5}} p^{\frac{4}{5}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

n^{\frac{4}{5}} p^{\frac{4}{5}} = (n p)^{\frac{4}{5}}

= m^{\frac{1}{5}} (n p)^{\frac{4}{5}}

(a + a^{2} - 16) (a - a^{2} - 16)

(3 x - 2)^{2} (2 x - 3)^{2}

\frac{27}{- 48}

2 \times 2 x

What is n^{4/5}m^{1/5}p^{4/5} ?
The solution to n^{4/5}m^{1/5}p^{4/5} is m^{1/5}(np)^{4/5}