Question

Does 3x^2 times sqrt of x simply equals 3x^2sqrt(x) or...

Answer 1

Should I treat the sqrt of x as x^1/2 ? If so would it equal 3x^2.5 ?

Answer 2

\[3x^2*\sqrt{2}\]

Answer 3

You're right!

\[\large 3x^2 \sqrt{x} = 3x^2\cdot x^{\frac{1}{2}} = 3x^{2+\frac{1}{2}} = 3x^{\frac{5}{2}}\]

Answer 4

when base is same and number is multiplied than power will be added

Answer 5

here base is x so power of x will be added

Answer 6

2+1/2=2.5
so 3x^2.5

Answer 7

ooohh great yay! It feels so good to understand something in math hehe thanks guys :)