Chapter 4.6, Problem 8MRE

To determine

To evaluate: the value of the expression

Answer to Problem 8MRE

The value of the expression is $\boxed{-1}$

Explanation of Solution

Given information: The expression $\left(-x^8\right)x^2$ where $w=3;x=-1;$ and $y=4$

Concept Involved:

We need to make use of exponent rule to rewrite the given expression. Then substitute -1 for x in the simplified expression to evaluate the value of expression.

Formula Used:

  $a^m\times a^n=a^{m+n}$

Calculation: Use the exponent rule to rewrite the given expression $\left(-x^8\right)x^2$

  $-x^{8+2}=-x^{10}$

Substituting -1 for x in the expression $-x^{10}$

  $-{\left(-1\right)}^{10}$

Simplifying further we get

-1

Conclusion:

The value of the given expression $\left(-x^8\right)x^2$ where $x=-1$is $\boxed{-1}$