Question

what is the simplified form of the expression (2x^6)(3x^1/2)
my choices are:

A.6x^13/2
B.6x^3
C.5x^13/2
D.5x^3
and thank you so much for helping btw, i suck at math :(

Answer 1

So we multiply the 2 and the 3 together, which should eliminate a couple options for us.
Then to multiply the x's we'll use this rule:\[\Large\bf\sf x^a\cdot x^b\quad=\quad x^{a+b}\]

Answer 2

\[\Large\bf\sf (2x^6)(3x^{1/2})\quad=\quad 2\cdot3\cdot x^6\cdot x^{1/2}\quad=\quad 6x^{6+1/2}\]

Answer 3

Understand how that rule works?
We need to simplify the exponent now.
To add the terms, you need a common denominator.