5 Problems - SHOW ALL WORK!
x2 * x6 =
x3 * x* x8 =
x4*x3*x10=
6x2* 2x5=
Why do we add exponents when we are multiplying like bases?
1. x2 * x6 = x^(2+6) = x^8
2. x3 * x * x8 = x^(3+1+8) = x^12
3. x4 * x3 * x10 = x^(4+3+10) = x^17
4. 6x2 * 2x5 = (6 * 2) * x^(2+5) = 12x^7
5. When multiplying like bases, we add the exponents because it represents repeated multiplication. For example, x^3 * x^2 means you are multiplying x three times by x two times, which is the same as x^(3+2) = x^5. This rule applies for all bases, not just x.