Mathematics: Which expression is equivalent to (x 4/3 x2/3) ^1/3

Which expression is equivalent to (x 4/3 x2/3) ^1/3

Ответ:

romerok568

12.03.2022

$\large\boxed{x^\frac{2}{3}}$

Step-by-step explanation:

$\left(x^\frac{4}{3}x^\frac{2}{3}\right)^\frac{1}{3}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\left(x^{\frac{4}{3}+\frac{2}{3}}\right)^\frac{1}{3}=\left(x^{\frac{6}{3}\right)^\frac{1}{3}=(x^2)^\frac{1}{3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=x^{(2)\left(\frac{1}{3}\right)}=x^\frac{2}{3}$

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Ответ:

songulakabulut1992

25.06.2022

Mathematics

Rip King von like to send love to their family 63-63= von

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Which expression is equivalent to (x 4/3 x2/3) ^1/3

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