Solve a^frac{4{3}}a^-frac{3{2}}a^frac{1{6}}

$$a ^ { \frac { 4 } { 3 } } a ^ { - \frac { 3 } { 2 } } a ^ { \frac { 1 } { 6 } }$$

Evaluate

$$1$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$a^{\frac{4}{3}}a^{-\frac{3}{2}}\sqrt[6]{a}$$

Use the Multiplication Rule for Exponents.

$$a^{\frac{4}{3}-\frac{3}{2}+\frac{1}{6}}$$

Add the exponents \frac{4}{3} and -\frac{3}{2}.

$$a^{\frac{-1+1}{6}}$$

Add the exponents -\frac{1}{6} and \frac{1}{6}.

$$a^{0}$$

For any number a except 0, a^{0}=1.

$$1$$

Factor

$$1$$