Question

$$4 \times -2 { \times }^{ 2-9 }$$

Answer

$$-8/^6$$

Solution


Simplify  \(2-9\)  to  \(-7\).
\[4\times -2{}^{-7}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[4\times -2\times \frac{1}{{}^{7}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times -2\times 1}{{}^{7}}\]
Simplify  \(4\times -2\)  to  \(-8\).
\[\frac{-8\times 1}{{}^{7}}\]
Simplify  \(-8\times 1\)  to  \(-8\).
\[\frac{-8}{{}^{7}}\]
Move the negative sign to the left.
\[-\frac{8}{{}^{7}}\]
Simplify  \(\frac{8}{{}^{7}}\)  to  \(\frac{8}{{}^{6}}\).
\[-\frac{8}{{}^{6}}\]