Solve 5^135^17/5^115^165

$$\frac{ { 5 }^{ 13 } { 5 }^{ 17 } }{ { 5 }^{ 11 } { 5 }^{ 16 } 5 }$$

Evaluate

$$25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 13 and 17 to get 30.

$$\frac{5^{30}}{5^{11}\times 5^{16}\times 5}$$

To multiply powers of the same base, add their exponents. Add 11 and 16 to get 27.

$$\frac{5^{30}}{5^{27}\times 5}$$

To multiply powers of the same base, add their exponents. Add 27 and 1 to get 28.

$$\frac{5^{30}}{5^{28}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 28 from 30 to get 2.

$$5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$