Solve 5^-6+(-5)^-4*5^0

$$5 ^ { - 6 } + ( - 5 ) ^ { - 4 } \times 5 ^ { 0 }$$

Evaluate

$$\frac{26}{15625}=0.001664$$

Solution Steps

Calculate 5 to the power of -6 and get \frac{1}{15625}.

$$\frac{1}{15625}+\left(-5\right)^{-4}\times 5^{0}$$

Calculate -5 to the power of -4 and get \frac{1}{625}.

$$\frac{1}{15625}+\frac{1}{625}\times 5^{0}$$

Calculate 5 to the power of 0 and get 1.

$$\frac{1}{15625}+\frac{1}{625}\times 1$$

Multiply \frac{1}{625} and 1 to get \frac{1}{625}.

$$\frac{1}{15625}+\frac{1}{625}$$

Add \frac{1}{15625} and \frac{1}{625} to get \frac{26}{15625}.

$$\frac{26}{15625}$$

Factor

$$\frac{2 \cdot 13}{5 ^ {6}} = 0.001664$$