17. 6t^3 x 6t^3
(A)12t^3
(B)12t^6
(C)36t^6
(D)36t^9
Is it b or c??
I just need some help understanding if I'm supposed to add or multiply 6 and 6
since multiplication is commutative,
6t^3 * 6t^3 = 6*6 * t^3*t^3 = 36t^6
t^3*t^3 = t*t*t * t*t*t = t^6, not t^9
add exponents when multiplying powers
thank you so much steve
To simplify the expression 6t^3 x 6t^3, you need to multiply the coefficients (numbers) and add the exponents of the variables (t).
The coefficient 6 multiplied by 6 is 36, so the coefficient of the simplified expression will be 36.
The variables in this expression are both t^3, so when you multiply them together, you add the exponents. t^3 x t^3 = t^(3 + 3) = t^6.
Therefore, the simplified expression is 36t^6.
So, the correct answer is (C) 36t^6.