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
[tex]81^3*3^4\\(3^4)^3*3^4\\3^{4*3}*3^4\\3^{12}*3^4\\3^{12+4}\\3^{16}[/tex]
3^16 is our answer
