Solve frac{16^{3}*16^4*16^7}{16^5*16^2}

$$\frac { 16 ^ { 3 } \cdot 16 ^ { 4 } \cdot 16 ^ { 7 } } { 16 ^ { 5 } \cdot 16 ^ { 2 } }$$

Evaluate

$$268435456$$

Solution Steps

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

$$\frac{16^{7}\times 16^{7}}{16^{5}\times 16^{2}}$$

To multiply powers of the same base, add their exponents. Add 7 and 7 to get 14.

$$\frac{16^{14}}{16^{5}\times 16^{2}}$$

To multiply powers of the same base, add their exponents. Add 5 and 2 to get 7.

$$\frac{16^{14}}{16^{7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 7 from 14 to get 7.

$$16^{7}$$

Calculate 16 to the power of 7 and get 268435456.

$$268435456$$

Factor

$$2^{28}$$