Question

how to multiply (2x-1) by the square root of 2x-1

Answer 1

so it's (2x-1)^(1/2+1)

Answer 2

\[\huge \color{#3366CF}{(2x-1)}\color{#F35633}{\sqrt{2x-1}}\]First let's convert the square root to a fractional exponent.\[\huge \color{#3366CF}{(2x-1)}\color{#F35633}{(2x-1)^{1/2}}\]

From here, we can perform the multiplication since the have the same BASE (2x-1).
When you multiply terms with the same base, you ADD the exponents. You can think of the blue term as being raised to the 1st power.\[\huge \color{#3399AA}{(2x-1)^{1+1/2}}\]See how we added them? Which gives us,\[\huge \color{#3399AA}{(2x-1)^{3/2}}\]

Answer 3

thank you so very much whew!