Solve 45*{left(1/9right)}^2-14*1/9

$$45 \times { \left( \frac{ 1 }{ 9 } \right) }^{ 2 } -14 \times \frac{ 1 }{ 9 }$$

Evaluate

$$-1$$

Solution Steps

Calculate \frac{1}{9} to the power of 2 and get \frac{1}{81}.

$$45\times \frac{1}{81}-14\times \frac{1}{9}$$

Multiply 45 and \frac{1}{81} to get \frac{45}{81}.

$$\frac{45}{81}-14\times \frac{1}{9}$$

Reduce the fraction \frac{45}{81} to lowest terms by extracting and canceling out 9.

$$\frac{5}{9}-14\times \frac{1}{9}$$

Multiply 14 and \frac{1}{9} to get \frac{14}{9}.

$$\frac{5}{9}-\frac{14}{9}$$

Since \frac{5}{9} and \frac{14}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-14}{9}$$

Subtract 14 from 5 to get -9.

$$\frac{-9}{9}$$

Divide -9 by 9 to get -1.

$$-1$$

Factor

$$-1$$