Solve 5^0:(5^-2)^3*5^-1

$$5 ^ { 0 } : ( 5 ^ { - 2 } ) ^ { 3 } \times 5 ^ { - 1 }$$

Evaluate

$$3125$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -2 and 3 to get -6.

$$\frac{5^{0}}{5^{-6}}\times 5^{-1}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -6 from 0 to get 6.

$$5^{6}\times 5^{-1}$$

To multiply powers of the same base, add their exponents. Add 6 and -1 to get 5.

$$5^{5}$$

Calculate 5 to the power of 5 and get 3125.

$$3125$$

Factor

$$5^{5}$$