How do you simplify #(3n^4)/(3n^3)# and write it using only positive exponents?

Answer 1

See a solution process below:

First, we can cancel the common term in the numerator and denominator of the fraction:

#(3n^4)/(3n^3) => (color(red)(cancel(color(black)(3)))n^4)/(color(red)(cancel(color(black)(3)))n^3) => n^4/n^3#

Next, we can use these rules for exponents to complete the simplification:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))# and #a^color(red)(1) = a#
#n^color(red)(4)/n^color(blue)(3) => n^(color(red)(4)-color(blue)(3)) => n^color(red)(1) => n#
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Answer 2

To simplify (3n^4)/(3n^3) and write it using only positive exponents, you divide the coefficients (3/3) and subtract the exponents (4-3) to get n^(4-3), which simplifies to n^1 or simply n. So, the simplified expression is n.

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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.

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.

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.

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.

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