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Question

# Simplify. Express using $(a)$ negative exponents; $(b)$ positive exponents.$\dfrac{m^5}{m^{10}}$

Solution

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Answered 1 year ago
Answered 1 year ago
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The goal of this exercise is to simplify the expression using positive and negative exponents.

For this problem we will apply for rule dividing powers with same bases which states:

$\boxed{\dfrac{a^x}{a^y}=a^{x-y}} \tag{1}$

If we want to express with positive exponent we will write expression as:

$\boxed{a^{-n}=\dfrac{1}{a^n}}\tag{2}$

where $n>0$

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