Solve -3^4/4-{left(-3/4right)}^2

$$- \frac{ { 3 }^{ 4 } }{ 4 } - { \left(- \frac{ 3 }{ 4 } \right) }^{ 2 }$$

Evaluate

$$-\frac{333}{16}=-20.8125$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$-\frac{81}{4}-\left(-\frac{3}{4}\right)^{2}$$

Calculate -\frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$-\frac{81}{4}-\frac{9}{16}$$

Least common multiple of 4 and 16 is 16. Convert -\frac{81}{4} and \frac{9}{16} to fractions with denominator 16.

$$-\frac{324}{16}-\frac{9}{16}$$

Since -\frac{324}{16} and \frac{9}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-324-9}{16}$$

Subtract 9 from -324 to get -333.

$$-\frac{333}{16}$$

Factor

$$-\frac{333}{16} = -20\frac{13}{16} = -20.8125$$