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How do you simplify #2x^-4y^2# and write it using only positive exponents?

Answer 1

Genesis Allen

See the entire explanation below:

To get rid of the negative exponent, apply the following exponent rule:

#x^color(red)(a) = 1/x^color(red)(-a)#

#2x^color(red)(-4)y^2 = (2y^2)/x^color(red)(- -4) = (2y^2)/x^4#

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Answer 2

Avery Alexander

To simplify 2x^-4y^2 and write it using only positive exponents, we can move the x^-4 term from the numerator to the denominator, changing its exponent to positive. The simplified expression is ( \frac{2y^2}{x^4} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.