Solve -1^2-[13/7+(-12)div6]^2*(-3/4)^3

$$- 1 ^ { 2 } - [ 1 \frac { 3 } { 7 } + ( - 12 ) \div 6 ] ^ { 2 } \times ( - \frac { 3 } { 4 } ) ^ { 3 }$$

Evaluate

$$-\frac{169}{196}\approx -0.862244898$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$-1-\left(\frac{1\times 7+3}{7}+\frac{-12}{6}\right)^{2}\left(-\frac{3}{4}\right)^{3}$$

Multiply 1 and 7 to get 7.

$$-1-\left(\frac{7+3}{7}+\frac{-12}{6}\right)^{2}\left(-\frac{3}{4}\right)^{3}$$

Add 7 and 3 to get 10.

$$-1-\left(\frac{10}{7}+\frac{-12}{6}\right)^{2}\left(-\frac{3}{4}\right)^{3}$$

Divide -12 by 6 to get -2.

$$-1-\left(\frac{10}{7}-2\right)^{2}\left(-\frac{3}{4}\right)^{3}$$

Subtract 2 from \frac{10}{7} to get -\frac{4}{7}.

$$-1-\left(-\frac{4}{7}\right)^{2}\left(-\frac{3}{4}\right)^{3}$$

Calculate -\frac{4}{7} to the power of 2 and get \frac{16}{49}.

$$-1-\frac{16}{49}\left(-\frac{3}{4}\right)^{3}$$

Calculate -\frac{3}{4} to the power of 3 and get -\frac{27}{64}.

$$-1-\frac{16}{49}\left(-\frac{27}{64}\right)$$

Multiply \frac{16}{49} and -\frac{27}{64} to get -\frac{27}{196}.

$$-1-\left(-\frac{27}{196}\right)$$

The opposite of -\frac{27}{196} is \frac{27}{196}.

$$-1+\frac{27}{196}$$

Add -1 and \frac{27}{196} to get -\frac{169}{196}.

$$-\frac{169}{196}$$

Factor

$$-\frac{169}{196} = -0.8622448979591837$$