Solve left(6^2right)^8/left(6^5right)^3

$$\frac{ { \left( { 6 }^{ 2 } \right) }^{ 8 } }{ { \left( { 6 }^{ 5 } \right) }^{ 3 } }$$

Evaluate

$$6$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 8 to get 16.

$$\frac{6^{16}}{\left(6^{5}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 3 to get 15.

$$\frac{6^{16}}{6^{15}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 15 from 16 to get 1.

$$6^{1}$$

Calculate 6 to the power of 1 and get 6.

$$6$$

Factor

$$2\times 3$$