Solve (2^4*2^3:2^0):2=

$$( 2 ^ { 4 } \cdot 2 ^ { 3 } : 2 ^ { 0 } ) : 2 =$$

Evaluate

$$64$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\frac{\frac{2^{7}}{2^{0}}}{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 0 from 7 to get 7.

$$\frac{2^{7}}{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 7 to get 6.

$$2^{6}$$

Calculate 2 to the power of 6 and get 64.

$$64$$

Factor

$$2^{6}$$