Answered

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which is equivalent to ( a^2/3 b ^1/3) ^1/2

Which Is Equivalent To A23 B 13 12 class=

Sagot :

Hi1315

Answer:

Answer E is correct

Step-by-step explanation:

We know that,

[tex](x^ay^b)^c=x^a^cy^b^c[/tex]

Let us use the above to find the answer to this question.

Let us solve it now.

[tex](a^\frac{2}3} b^\frac{1}{3})^\frac{1}{2}[/tex]

[tex]a^\frac{2}3}^*^ \frac{1}{2} *b^\frac{1}{3}^*^\frac{1}{2}[/tex]

[tex]a^\frac{2*1}{3*2} * b^\frac{1*1}{3*2}[/tex]

[tex]a^\frac{2}{6} * b^\frac{1}{6}[/tex]

Here, we can simplify the [tex]a^\frac{2}{6}[/tex] as [tex]a^\frac{1}{3}[/tex] by dividing the numerator and denominator by 2.

Therefore, the answer will be,

[tex]a^\frac{1}{3} b^\frac{1}{6}[/tex]

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