Solve frac{7^{8}*7^3*7^4}{7^9*7^5}

$$\frac { 7 ^ { 8 } \times 7 ^ { 3 } \times 7 ^ { 4 } } { 7 ^ { 9 } \times 7 ^ { 5 } }$$

Evaluate

$$7$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.

$$\frac{7^{11}\times 7^{4}}{7^{9}\times 7^{5}}$$

To multiply powers of the same base, add their exponents. Add 11 and 4 to get 15.

$$\frac{7^{15}}{7^{9}\times 7^{5}}$$

To multiply powers of the same base, add their exponents. Add 9 and 5 to get 14.

$$\frac{7^{15}}{7^{14}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 14 from 15 to get 1.

$$7^{1}$$

Calculate 7 to the power of 1 and get 7.

$$7$$

Factor

$$7$$