Rewrite the expression in the form \( a x^{b} \) where \( a \) and \( b \) are numbers. Note that the varlable, which does not have to be \( x \), should not be in a denominator and \( a \) is in front of the variable.
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To rewrite an expression in the form \( a x^{b} \), we want to isolate the variable and express it with a coefficient and an exponent. For example, if you start with \( \frac{3}{x^2} \), you can multiply both the numerator and the denominator by the same value (in this case, \( x^2 \)), giving you \( 3 x^{-2} \). Here, \( a = 3 \) and \( b = -2 \), so the expression is now in the desired format. As another example, if you have \( 4y \) as your expression, it is already in the form where \( a = 4 \) and \( b = 1 \) since \( y \) can be written as \( y^1 \). So simply identifying coefficients and adjusting the exponents lets you convert any polynomial or rational expression into the form \( a x^{b} \).