Solve [(1/5)^1]^4:[(1/5)^3]:1/5}*(7/3+frac{10}{5}*frac{12}{4})+(6-frac{1}{6}-frac{1}{3}:frac{2}{5})

$$[ ( \frac { 1 } { 5 } ) ^ { 1 } ] ^ { 4 } : [ ( \frac { 1 } { 5 } ) ^ { 3 } ] : \frac { 1 } { 5 } \} \times ( \frac { 7 } { 3 } + \frac { 10 } { 5 } \times \frac { 12 } { 4 } ) + ( 6 - \frac { 1 } { 6 } - \frac { 1 } { 3 } : \frac { 2 } { 5 } )$$

Evaluate

$$1$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 1 and 4 to get 4.

$$\frac{\frac{\left(\frac{1}{5}\right)^{4}}{\left(\frac{1}{5}\right)^{3}}}{\frac{1}{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 4 to get 1.

$$\frac{\left(\frac{1}{5}\right)^{1}}{\frac{1}{5}}$$

Divide \left(\frac{1}{5}\right)^{1} by \frac{1}{5} to get 1.

$$1$$

Factor

$$1$$