Solve (2*2^4)div(2^10*2^-3)

$$( 2 \times 2 ^ { 4 } ) \div ( 2 ^ { 10 } \times 2 ^ { - 3 } )$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{2^{5}}{2^{10}\times 2^{-3}}$$

To multiply powers of the same base, add their exponents. Add 10 and -3 to get 7.

$$\frac{2^{5}}{2^{7}}$$

Rewrite 2^{7} as 2^{5}\times 2^{2}. Cancel out 2^{5} in both numerator and denominator.

$$\frac{1}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$