Solve 7^5/7^2div7^6/7^4=

$$\frac{ { 7 }^{ 5 } }{ { 7 }^{ 2 } } \div \frac{ { 7 }^{ 6 } }{ { 7 }^{ 4 } } =$$

Evaluate

$$7$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 5 to get 3.

$$\frac{7^{3}}{\frac{7^{6}}{7^{4}}}$$

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

$$\frac{7^{3}}{7^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$7^{1}$$

Calculate 7 to the power of 1 and get 7.

$$7$$

Factor

$$7$$