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Chapter 4: Problem 41

Simplify each expression by writing it as an expression without negative exponents or parentheses. Assume no variables are $0. $$-5 x^{-4}$$

Short Answer

Expert verified
The simplified version of the expression is \(-\frac{5}{x^4}\).

Step by step solution

01

Understand the Negative Exponent Rule

Negative exponents can be converted to positive by moving the term with the negative exponent to the opposite location in a fraction. If it is in the numerator move it to the denominator and vice versa. For instance, \(a^{-n}\) becomes \(\frac{1}{a^n}\) and \(\frac{1}{a^{-n}}\) becomes \(a^n\). In this case, the term \(x^{-4}\) will first be converted to \(\frac{1}{x^4}\). So, our equation will be \(-5 * \frac{1}{x^4}\).
02

Simplify multiplication with fraction

Now you have an integer multiplied by a fraction. This can be written as one fraction. In particular, our equation \(-5 * \frac{1}{x^4}\) becomes \(-\frac{5}{x^4}\). Hence you don't have any parenthesis.

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Most popular questions from this chapter

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