Solve 5^-2+(-5)^0+(-5)*5^-3

$$5 ^ { - 2 } + ( - 5 ) ^ { 0 } + ( - 5 ) \cdot 5 ^ { - 3 }$$

Evaluate

$$1$$

Solution Steps

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\frac{1}{25}+\left(-5\right)^{0}-5\times 5^{-3}$$

Calculate -5 to the power of 0 and get 1.

$$\frac{1}{25}+1-5\times 5^{-3}$$

Add \frac{1}{25} and 1 to get \frac{26}{25}.

$$\frac{26}{25}-5\times 5^{-3}$$

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{26}{25}-5\times \frac{1}{125}$$

Multiply -5 and \frac{1}{125} to get -\frac{1}{25}.

$$\frac{26}{25}-\frac{1}{25}$$

Subtract \frac{1}{25} from \frac{26}{25} to get 1.

$$1$$

Factor

$$1$$