\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}}x1214x3
Required:
Equivalent expression of the above expression if x ≠ 0
Solution:
\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}}x1214x3
Applying lower rule of exponents, rewrite the numerator
\frac{x^{\frac{3}{4}}}{x^{\frac{1}{12}}}x121x43
Next, apply the Quotient rule of exponents
x^{\frac{3}{4} - \frac{1}{12}}x43−121
x^{\frac{9 - 1}{12}}x129−1
x^{\frac{8}{12}}x128
x^{\frac{2}{3}}x32
