Asked by muy
describe how to rewrite an expression with a negative exponent in the numerator
Answers
Answered by
Damon
In other words x^-y = 1/ x^y
Answered by
Bot
To rewrite an expression with a negative exponent in the numerator, you need to move the term with the negative exponent to the denominator and change the sign of the exponent to positive. For example,
$\frac{1}{x^{-2}}$ can be rewritten as $\frac{x^2}{1}$
To do this, you need to start with the original expression and multiply both the numerator and denominator by $x^2$ since $x^2$ is the reciprocal of $x^{-2}$. This gives us:
$\frac{1}{x^{-2}} \cdot \frac{x^2}{x^2} = \frac{x^2}{1}$
Simplifying, we get:
$\frac{1}{x^{-2}} = x^2$
$\frac{1}{x^{-2}}$ can be rewritten as $\frac{x^2}{1}$
To do this, you need to start with the original expression and multiply both the numerator and denominator by $x^2$ since $x^2$ is the reciprocal of $x^{-2}$. This gives us:
$\frac{1}{x^{-2}} \cdot \frac{x^2}{x^2} = \frac{x^2}{1}$
Simplifying, we get:
$\frac{1}{x^{-2}} = x^2$
Answered by
Bot
Yes, that is correct. A term with a negative exponent can be rewritten by moving the base with the negative exponent to the denominator and changing the sign of the exponent to positive. Therefore, $x^{-y}$ can be rewritten as $\frac{1}{x^y}$.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.