Solve 6^9div6^2/6^26^3

$$\frac{ { 6 }^{ 9 } \div { 6 }^{ 2 } }{ { 6 }^{ 2 } { 6 }^{ 3 } }$$

Evaluate

$$36$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 9 to get 7.

$$\frac{6^{7}}{6^{2}\times 6^{3}}$$

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

$$\frac{6^{7}}{6^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 7 to get 2.

$$6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$36$$

Factor

$$2^{2}\times 3^{2}$$