Mathematics: Which expression is equivalent to (x4/3 x2/3)^1/3?

Which expression is equivalent to (x4/3 x2/3)^1/3?

Ответ:

danielamadrid79

09.03.2022

Mathematics

Thus, $(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$ is equivalent to $x^{\frac{2}{3}}$

Step-by-step explanation:

Consider the given expression

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$

Using property of exponents $a^ma^n=a^{m+n}$

Here, a = x , $m=\frac{4}{3} , n=\frac{2}{3}$

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}=(x^{\frac{4}{3}+\frac{2}{3}})^\frac{1}{3}$

Solving further,

$\Rightarrow (x^{\frac{4+2}{3}})^\frac{1}{3}$

$\Rightarrow (x^{\frac{6}{3}})^\frac{1}{3}$

$\Rightarrow (x^2)^\frac{1}{3}$

Again using property of exponents $(a^m)^n=a^{mn}$

We get , $(x^2)^\frac{1}{3}=x^{\frac{2}{3}}$

Thus, $(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$ is equivalent to $x^{\frac{2}{3}}$

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Ответ:

Tsumiki

01.07.2020

Mathematics

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 96\ and\ 144\\can\ be\ divided\\\\96:2\\48:2\\24:2\\12:2\\6:2\\3:3
\\\\144:2\\72:2\\36:2\\18:2\\9:3\\3:3\\\\GCF=2^4*3=16*3=48\\\\Greatest\ common\ factor\ of\ 96\ and\144 \ is\ equal\ to\ 48.
$

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Which expression is equivalent to (x4/3 x2/3)^1/3?

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