Pre-Algebra Examples

$y = {(x - 3)}^{2 - 7}$

Step 1

Simplify ${(x - 3)}^{2 - 7}$ .

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Step 1.1

Subtract $7$ from $2$ .

$y = {(x - 3)}^{- 5}$

Step 1.2

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

$y = \frac{1}{{(x - 3)}^{5}}$

Step 2

The given equation $y = \frac{1}{{(x - 3)}^{5}}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

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