We can simplify this in one of two ways:
1.
We multiply 81 * 81 * 81 * 3 * 3 * 3 * 3, and then figure out what factor of 3 that is.
2.
Or, the easier way, is to figure out what factor of 3 81 is and go from there.
Let's multiply by 3 until we get 81:
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
We've multiplied four 3's, so 81 is the same thing as writing 3^4, and we can simplify from there.
*remember! When multiplying exponents, you add them together. When putting an exponent to another exponent, we multiply
![81^3*3^4\\(3^4)^3*3^4\\3^(4*3)*3^4\\3^(12)*3^4\\3^(12+4)\\3^(16)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vke8uowgac96moa1hm9ud9dliwvci1cmc3.png)
3^16 is our answer