How can I simplify this?

Valesa

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Aug 16, 2018
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The expression is as follows: 45e^6f^8÷ 5ef^2 I attempted to do this by diving 45 by 5, and I got 9 so I got the result 9e^16 which I don't believe is correct as I guessed how to do it. I'd just like to know the steps to do this,
 
You simplified the ratio of constants correctly, but that's only the first part.

Factor the given expression into a product of ratios, separating the constants and each base. Like this:

\(\displaystyle \dfrac{45 \cdot e^{6} \cdot f^{8}}{5 \cdot e \cdot f^{2}} = \dfrac{45}{5} \cdot \dfrac{e^{6}}{e} \cdot \dfrac{f^{8}}{f^{2}}\)

Now you can simplify the ratios one at a time. Use the property of exponents that rewrites a ratio of two powers (with same base) as a single power.

\(\displaystyle \dfrac{a^m}{a^n} = a^{m - n}\)

Questions? 8-)
 
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