Solve (2^3)(2^2)(2^5)/(2^4)({2^5)({2}^0)}

$$\frac{ ( { 2 }^{ 3 } )( { 2 }^{ 2 } )( { 2 }^{ 5 } ) }{ ( { 2 }^{ 4 } )( { 2 }^{ 5 } )( { 2 }^{ 0 } ) }$$

Evaluate

$$2$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{2^{5}\times 2^{5}}{2^{4}\times 2^{5}\times 2^{0}}$$

To multiply powers of the same base, add their exponents. Add 5 and 5 to get 10.

$$\frac{2^{10}}{2^{4}\times 2^{5}\times 2^{0}}$$

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$\frac{2^{10}}{2^{9}\times 2^{0}}$$

To multiply powers of the same base, add their exponents. Add 9 and 0 to get 9.

$$\frac{2^{10}}{2^{9}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 9 from 10 to get 1.

$$2^{1}$$

Calculate 2 to the power of 1 and get 2.

$$2$$

Factor

$$2$$