Solve {(7^2)^3*7^8}div7^13

$$\{ ( 7 ^ { 2 } ) ^ { 3 } \times 7 ^ { 8 } \} \div 7 ^ { 13 }$$

Evaluate

$$7$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{7^{6}\times 7^{8}}{7^{13}}$$

To multiply powers of the same base, add their exponents. Add 6 and 8 to get 14.

$$\frac{7^{14}}{7^{13}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 13 from 14 to get 1.

$$7^{1}$$

Calculate 7 to the power of 1 and get 7.

$$7$$

Factor

$$7$$