Question

Which expression is equivalent to (x Superscript four-thirds Baseline x Superscript two-thirds Baseline) Superscript one-third?

x Superscript two-ninths
x Superscript two-thirds
x Superscript eight-ninths
x Superscript seven-thirds

Answer 1

Answer: x 2/3 on edge :)

Explanation:

Answer 2

x Superscript two-thirds

Explanation:

`\displaystyle (x^{(4)/(3)}x^{(2)/(3)})^{(1)/(3)}=(x^{(4)/(3)+(2)/(3)})^(1)/(3)=(x^2)^{(1)/(3)}\\\\=x^{(2)/(3)}`

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The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)