what is the answer to 3 to the power of -1 times by 3 to the power of 5 (3 -1 X 3 5)
To evaluate \(3^{-1}*3^5\), you must be comfortable with exponent rules.
\(3^{-1}*3^5\) | Use the exponent rule that\(a^b*a^c=a^{b+c}\)to simplify the expression. |
\(3^{-1}*3^5=3^{-1+5}=3^4\) | Now, evaluate 3^4. |
\(3^4=\underbrace{3*3}*\underbrace{3*3}\) | To ease computation, calculate it as the following as multiplication can be done in any order. |
\(3^4=9*9=81\) | |