Solve {l}{8(1/4)^3}{-10(1/4)^2}{-9(1/4)+3}

$$\left. \begin{array} { l } { 8 ( \frac { 1 } { 4 } ) ^ { 3 } } \\ { - 10 ( \frac { 1 } { 4 } ) ^ { 2 } } \\ { - 9 ( \frac { 1 } { 4 } ) + 3 } \end{array} \right.$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.

$$8\times \frac{1}{64}-10\times \left(\frac{1}{4}\right)^{2}-9\times \frac{1}{4}+3$$

Multiply 8 and \frac{1}{64} to get \frac{8}{64}.

$$\frac{8}{64}-10\times \left(\frac{1}{4}\right)^{2}-9\times \frac{1}{4}+3$$

Reduce the fraction \frac{8}{64} to lowest terms by extracting and canceling out 8.

$$\frac{1}{8}-10\times \left(\frac{1}{4}\right)^{2}-9\times \frac{1}{4}+3$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{1}{8}-10\times \frac{1}{16}-9\times \frac{1}{4}+3$$

Multiply 10 and \frac{1}{16} to get \frac{10}{16}.

$$\frac{1}{8}-\frac{10}{16}-9\times \frac{1}{4}+3$$

Reduce the fraction \frac{10}{16} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}-\frac{5}{8}-9\times \frac{1}{4}+3$$

Since \frac{1}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-5}{8}-9\times \frac{1}{4}+3$$

Subtract 5 from 1 to get -4.

$$\frac{-4}{8}-9\times \frac{1}{4}+3$$

Reduce the fraction \frac{-4}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{2}-9\times \frac{1}{4}+3$$

Multiply 9 and \frac{1}{4} to get \frac{9}{4}.

$$-\frac{1}{2}-\frac{9}{4}+3$$

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{9}{4} to fractions with denominator 4.

$$-\frac{2}{4}-\frac{9}{4}+3$$

Since -\frac{2}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-9}{4}+3$$

Subtract 9 from -2 to get -11.

$$-\frac{11}{4}+3$$

Convert 3 to fraction \frac{12}{4}.

$$-\frac{11}{4}+\frac{12}{4}$$

Since -\frac{11}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{-11+12}{4}$$

Add -11 and 12 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$