Question

Simplify:

${\left(-3\right)}^4\times {\left(-10\right)}^3$

Answer 1

We know that, when we multiply the negative number odd number of times, the result is always negative and if we multiply even number of times, the result is always positive.

So,

$$\begin{gathered} {\left(-3\right)}^4\times {\left(-10\right)}^3=\left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-3\right)\times \left(-10\right)\times \left(-10\right)\times \left(-10\right) \\ =81\times \left(-1000\right) \\ =-81000 \end{gathered}$$

Hence, the correct answer is $-81000.$