Solve (1/625)^4-(1/10)

$$( \frac { 1 } { 625 } ) ^ { 4 } - ( \frac { 1 } { 10 } )$$

Evaluate

$$-\frac{30517578123}{305175781250}=-0.1$$

Solution Steps

Calculate \frac{1}{625} to the power of 4 and get \frac{1}{152587890625}.

$$\frac{1}{152587890625}-\frac{1}{10}$$

Least common multiple of 152587890625 and 10 is 305175781250. Convert \frac{1}{152587890625} and \frac{1}{10} to fractions with denominator 305175781250.

$$\frac{2}{305175781250}-\frac{30517578125}{305175781250}$$

Since \frac{2}{305175781250} and \frac{30517578125}{305175781250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-30517578125}{305175781250}$$

Subtract 30517578125 from 2 to get -30517578123.

$$-\frac{30517578123}{305175781250}$$

Factor

$$-\frac{30517578123}{305175781250} = -0.0999999999934464$$