Solve (21/4)^0.5-0.75^-2+6^-2

$$( 2 \frac { 1 } { 4 } ) ^ { 0.5 } - 0.75 ^ { - 2 } + 6 ^ { - 2 }$$

Evaluate

$$-0.25$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\left(\frac{8+1}{4}\right)^{0.5}-0.75^{-2}+6^{-2}$$

Add 8 and 1 to get 9.

$$\left(\frac{9}{4}\right)^{0.5}-0.75^{-2}+6^{-2}$$

Calculate \frac{9}{4} to the power of 0.5 and get \frac{3}{2}.

$$\frac{3}{2}-0.75^{-2}+6^{-2}$$

Calculate 0.75 to the power of -2 and get \frac{16}{9}.

$$\frac{3}{2}-\frac{16}{9}+6^{-2}$$

Subtract \frac{16}{9} from \frac{3}{2} to get -\frac{5}{18}.

$$-\frac{5}{18}+6^{-2}$$

Calculate 6 to the power of -2 and get \frac{1}{36}.

$$-\frac{5}{18}+\frac{1}{36}$$

Add -\frac{5}{18} and \frac{1}{36} to get -\frac{1}{4}.

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

Factor

$$-0.25$$