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# Question

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Guest Sep 19, 2017
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The original expression is $$3^{-8}*3^5$$. In order to do this, we can use the fact that the base of both exponents are the same and then simplify.

 $$3^{-8}*3^5$$ Since the bases are identical, just add the exponents together. In general, $$a^b*a^c=a^{b+c}$$ $$3^{-8}*3^5=3^{-8+5}=3^{-3}$$ A number to a negative exponent is the same as the inverse of a number to the same positive exponent. $$a^{-b}=\frac{1}{a^b}$$ $$3^{-3}=\frac{1}{3^3}=\frac{1}{3*3*3}=\frac{1}{27}$$ This is your answer.
TheXSquaredFactor  Sep 19, 2017