Write the expression as one fraction with positive exponents.
-$$3 y ^ { 4 / 3 } + 2 y ^ { - 1 / 3 }$$

Question

Quizplus · Accepted Answer

To combine the terms into one fraction with positive exponents, factor out the smallest exponent, $y^{-1/3}$, which becomes $y^{1/3}$ in the denominator. The first term becomes $3y^{(4/3) - (1/3)} = 3y^{3/3} = 3y^{1}$, and the second term, $2y^{-1/3}$, becomes $2$ when moved to the numerator. Thus, the combined fraction is $\frac{3y^{5/3} + 2}{y^{1/3}}$.

Write the Expression as One Fraction with Positive Exponents 3y4/3+2y−1/33 y ^ { 4 / 3 } + 2 y ^ { - 1 / 3 }3y4/3+2y−1/3

Write the Expression as One Fraction with Positive Exponents $3 y ^ { 4 / 3 } + 2 y ^ { - 1 / 3 }$