Solve =(2^6)^4*(2^5)^3/5

$$= ( 2 ^ { 6 } ) ^ { 4 } \times ( 2 ^ { 5 } ) ^ { 3 / 5 }$$

Evaluate

$$134217728$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and 4 to get 24.

$$2^{24}\times \left(2^{5}\right)^{\frac{3}{5}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and \frac{3}{5} to get 3.

$$2^{24}\times 2^{3}$$

To multiply powers of the same base, add their exponents. Add 24 and 3 to get 27.

$$2^{27}$$

Calculate 2 to the power of 27 and get 134217728.

$$134217728$$

Factor

$$2^{27}$$