Solve [(-1/5)^2]^4+(-1/5)^6=

$$[ ( \frac { - 1 } { 5 } ) ^ { 2 } ] ^ { 4 } + ( \frac { - 1 } { 5 } ) ^ { 6 } =$$

Evaluate

$$\frac{26}{390625}=0.00006656$$

Solution Steps

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

$$\left(\frac{-1}{5}\right)^{8}+\left(\frac{-1}{5}\right)^{6}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$\left(-\frac{1}{5}\right)^{8}+\left(\frac{-1}{5}\right)^{6}$$

Calculate -\frac{1}{5} to the power of 8 and get \frac{1}{390625}.

$$\frac{1}{390625}+\left(\frac{-1}{5}\right)^{6}$$

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$\frac{1}{390625}+\left(-\frac{1}{5}\right)^{6}$$

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

$$\frac{1}{390625}+\frac{1}{15625}$$

Add \frac{1}{390625} and \frac{1}{15625} to get \frac{26}{390625}.

$$\frac{26}{390625}$$

Factor

$$\frac{2 \cdot 13}{5 ^ {8}} = 6.656 \times 10^{-5}$$