+2446 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. |
