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question 7 $x^{-4}$ $\\bigcirc$ $-4 / x$ $\\bigcirc$ $-4x$ $\\bigcirc$ …

Question

question 7
$x^{-4}$
$\bigcirc$ $-4 / x$
$\bigcirc$ $-4x$
$\bigcirc$ $x^4$
$\bigcirc$ $1 / (x^4)$

Explanation:

Step1: Recall the negative exponent rule

The rule for negative exponents is \( a^{-n}=\frac{1}{a^{n}} \) (where \( a
eq0 \) and \( n \) is a positive integer).

Step2: Apply the rule to \( x^{-4} \)

Using the negative exponent rule with \( a = x \) and \( n=4 \), we get \( x^{-4}=\frac{1}{x^{4}} \).

Answer:

D. \( 1 / (x^4) \) (assuming the last option is D, with the identifier and text as such)