QuestionWhat is the simplified form of $-4 r^{-8} s^{0}$ ? Choose one: A) $-\frac{4}{r^{8}}$ B) $\frac{4}{r^{8}}$ C) $\frac{r^{8}}{4}$ D) $-\frac{r^{8}}{4}$

Studdy Solution

STEP 1

Assumptions1. The given expression is $-4 r^{-8} s^{0}$ . We need to simplify this expression and select the equivalent form from the given options

STEP 2

We need to simplify the given expression. We can start by simplifying $s^{0}$ .
$s^{0} =1$ So, the expression becomes $-4 r^{-8} s^{0} = -4 r^{-8} *1$

STEP 3

implify the expression by multiplying $- r^{-8}$ by1.
$- r^{-8} *1 = - r^{-8}$

STEP 4

Now, we need to simplify $r^{-8}$ . The negative exponent indicates that the base (r) is on the wrong side of the fraction line, so we flip the base to the other side.
$r^{-8} = \frac{1}{r^{8}}$ So, the expression becomes $-4 r^{-8} = -4 * \frac{1}{r^{8}}$

STEP 5

implify the expression by multiplying $-4$ by $\frac{1}{r^{8}}$ .
$-4 * \frac{1}{r^{8}} = -\frac{4}{r^{8}}$ The simplified form of the given expression is $-\frac{4}{r^{8}}$ . So, the correct option is A.

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