Solve 5^3*5^7div(5^4)^2

$$5 ^ { 3 } \times 5 ^ { 7 } \div ( 5 ^ { 4 } ) ^ { 2 }$$

Evaluate

$$25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 7 to get 10.

$$\frac{5^{10}}{\left(5^{4}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$\frac{5^{10}}{5^{8}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 8 from 10 to get 2.

$$5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$