Solve 2^62^5/2^322800

$$\frac{ { 2 }^{ 6 } { 2 }^{ 5 } }{ { 2 }^{ 3 } 2 } 2800$$

Evaluate

$$358400$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 5 to get 11.

$$\frac{2^{11}}{2^{3}\times 2}\times 2800$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\frac{2^{11}}{2^{4}}\times 2800$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 11 to get 7.

$$2^{7}\times 2800$$

Calculate 2 to the power of 7 and get 128.

$$128\times 2800$$

Multiply 128 and 2800 to get 358400.

$$358400$$

Factor

$$2^{11}\times 5^{2}\times 7$$