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How do you simplify #(m^2)^4/(m^3m^2)# and write it using only positive exponents?

Answer 1

#m^3#

There are only positive exponents, let's try and keep it that way.

In the numerator: Use the power law to remove the brackets. In the denominator: the bases are the same, add the indices.

#((m^2)^4)/(m^3m^2) = m^8/m^5#

The bases are the same, subtract the indices.

#m^8/m^5 = m^3#

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Answer 2

Nathan Axel

To simplify (m^2)^4/(m^3m^2) and write it using only positive exponents, you would first simplify the numerator, which is (m^2)^4 = m^8. Then, simplify the denominator, which is m^3m^2 = m^(3+2) = m^5. Finally, divide the numerator by the denominator to get m^(8-5) = m^3.

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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.