Solve frac{3^{23}*3^2*3}{3^19*3^4*3^-8}

$$\frac { 3 ^ { 23 } \cdot 3 ^ { 2 } \cdot 3 } { 3 ^ { 19 } \cdot 3 ^ { 4 } \cdot 3 ^ { - 8 } }$$

Evaluate

$$177147$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 23 and 2 to get 25.

$$\frac{3^{25}\times 3}{3^{19}\times 3^{4}\times 3^{-8}}$$

To multiply powers of the same base, add their exponents. Add 25 and 1 to get 26.

$$\frac{3^{26}}{3^{19}\times 3^{4}\times 3^{-8}}$$

To multiply powers of the same base, add their exponents. Add 19 and 4 to get 23.

$$\frac{3^{26}}{3^{23}\times 3^{-8}}$$

To multiply powers of the same base, add their exponents. Add 23 and -8 to get 15.

$$\frac{3^{26}}{3^{15}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 15 from 26 to get 11.

$$3^{11}$$

Calculate 3 to the power of 11 and get 177147.

$$177147$$

Factor

$$3^{11}$$