Solve 3^8*3^-6/3*3^-5

$$\frac { 3 ^ { 8 } \times 3 ^ { - 6 } } { 3 \times 3 ^ { - 5 } }$$

Evaluate

$$729$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -6 to get 2.

$$\frac{3^{2}}{3\times 3^{-5}}$$

To multiply powers of the same base, add their exponents. Add 1 and -5 to get -4.

$$\frac{3^{2}}{3^{-4}}$$

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

$$3^{6}$$

Calculate 3 to the power of 6 and get 729.

$$729$$

Factor

$$3^{6}$$