Solve 7^7/7*7/7^7

$$\frac { 7 ^ { 7 } } { 7 } \cdot \frac { 7 } { 7 ^ { 7 } }$$

Evaluate

$$1$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 7 to get 6.

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

Rewrite 7^{7} as 7\times 7^{6}. Cancel out 7 in both numerator and denominator.

$$7^{6}\times \frac{1}{7^{6}}$$

Calculate 7 to the power of 6 and get 117649.

$$117649\times \frac{1}{7^{6}}$$

Calculate 7 to the power of 6 and get 117649.

$$117649\times \frac{1}{117649}$$

Cancel out 117649 and 117649.

$$1$$

Factor

$$1$$