Solve 5quad8^4*8^6/8^3

$$5 \quad \frac { 8 ^ { 4 } \times 8 ^ { 6 } } { 8 ^ { 3 } }$$

Evaluate

$$10485760$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$5\times \frac{8^{10}}{8^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 10 to get 7.

$$5\times 8^{7}$$

Calculate 8 to the power of 7 and get 2097152.

$$5\times 2097152$$

Multiply 5 and 2097152 to get 10485760.

$$10485760$$

Factor

$$2^{21}\times 5$$