Solve 3^6/3^43^6/3^4+3

$$\frac{ { 3 }^{ 6 } }{ { 3 }^{ 4 } } \frac{ { 3 }^{ 6 } }{ { 3 }^{ 4 } } +3$$

Evaluate

$$84$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.

$$3^{2}\times \frac{3^{6}}{3^{4}}+3$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.

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

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$3^{4}+3$$

Calculate 3 to the power of 4 and get 81.

$$81+3$$

Add 81 and 3 to get 84.

$$84$$

Factor

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