Solve 5^-6div-5^-45^0

$${ 5 }^{ -6 } \div { -5 }^{ -4 } { 5 }^{ 0 }$$

Evaluate

$$\frac{1}{25}=0.04$$

Solution Steps

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

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

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

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

Divide \frac{1}{15625} by \frac{1}{625} by multiplying \frac{1}{15625} by the reciprocal of \frac{1}{625}.

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

Multiply \frac{1}{15625} and 625 to get \frac{1}{25}.

$$\frac{1}{25}\times 5^{0}$$

Calculate 5 to the power of 0 and get 1.

$$\frac{1}{25}\times 1$$

Multiply \frac{1}{25} and 1 to get \frac{1}{25}.

$$\frac{1}{25}$$

Factor

$$\frac{1}{5 ^ {2}} = 0.04$$