Question

1/ sqr root 3t^4 answer should be 3^-1/2 t^-2 but I got 1/ 3^1/2 t^2 so would I just flip it ?

Answer 1

so are you trying to simplify

\[\frac{1}{\sqrt{3t^4}}\]

Answer 2

ok... you're writing it in index form

so the index for roots or radicals is

\[x^{\frac{1}{2}} = \sqrt {x}\]

so you have

\[\frac{1}{(3t^4)^{\frac{1}{2}}}\]

fractions have negative indices

\[x^{-a} = \frac{1}{x^a}\]

so you have

\[(3t^4)^{-\frac{1}{2}}\]

lastly use the power of a power rule

\[(x^ay^b)^c = x^{a \times c} y^{b \times c} \]

that will give the answer you need

Answer 3

waiiittttt, where did the negative come from? :S

Answer 4

terms in denominators can be written with negative indices