Solve (2^3)^-frac{1{3}}(2^4)^frac{3{4}}=

$$( 2 ^ { 3 } ) ^ { - \frac { 1 } { 3 } } ( 2 ^ { 4 } ) ^ { \frac { 3 } { 4 } } =$$

Evaluate

$$4$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and -\frac{1}{3} to get -1.

$$2^{-1}\times \left(2^{4}\right)^{\frac{3}{4}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and \frac{3}{4} to get 3.

$$2^{-1}\times 2^{3}$$

To multiply powers of the same base, add their exponents. Add -1 and 3 to get 2.

$$2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4$$

Factor

$$2^{2}$$