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 Superscript two-thirds

Step-by-step explanation:

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

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

Answer 2

Answer:

it's b  on ed