Solve 5^2*5*5^3/5^4*5

$$\frac { 5 ^ { 2 } \times 5 \times 5 ^ { 3 } } { 5 ^ { 4 } \times 5 }$$

Evaluate

$$5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{5^{3}\times 5^{3}}{5^{4}\times 5}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{5^{6}}{5^{4}\times 5}$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{5^{6}}{5^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 6 to get 1.

$$5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$5$$

Factor

$$5$$