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How do you simplify and write # x^5 / x^10# with positive exponents?

Answer 1

Abigail Allen

# 1/x^5#

The fraction can be rewritten as

# x^5/( x^5 xx x^5)#

# x^5/x^5 = 1#

This leaves # 1/x^5#

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Answer 2

Eva Adamson

To simplify and write ( \frac{x^5}{x^{10}} ) with positive exponents, you subtract the exponent of the denominator from the exponent of the numerator:

[ x^5 \div x^{10} = x^{5-10} = x^{-5} ]

To express this with positive exponents, you can rewrite it as:

[ \frac{1}{x^5} ]

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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.