Pre-Algebra Examples

$x^{2 - 4}$

Step 1

Write $x^{2 - 4}$ as an equation.

$y = x^{2 - 4}$

Step 2

Simplify $x^{2 - 4}$ .

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Step 2.1

Subtract $4$ from $2$ .

$y = x^{- 2}$

Step 2.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$y = \frac{1}{x^{2}}$

Step 3

The given equation $y = \frac{1}{x^{2}}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$