Rewrite the expression using only positive exponents and simplify. Anyone know how to do this question?

Question

(Assume any veriables in the expression are nonzero.)

(t^3)^ -1/2(3t^3)

this is not a divison question. Let me try to rewrite it.

(t^3) ^ (-1/2) (3t^3)

It is all in one straight line.

Answer 1

if by this you mean

((t^3)^(-1/2)) * (3t^3)
(1/(t^(3)^(1/2))) * (3t^3)
(3t^3)/(t^(3 * (1/2)))
(3t^3)/(t^(3/2))
3 * t^(3 - (3/2))
3 * t^((6/2) - (3/2))
3 * t^((6 - 3)/2)
3 * t^(3/2)
3t^(3/2)

Answer 2

Tough to say without knowing if the fraction line divides the whole problem so the 2(3t^3) is all on the bottom, or not.

If it does, the top is t^-3 (multiply the exponents); then subtract the exponents to get 1/6t^-6 which equals t^6 all over 6

Answer 3

First of all, I don't fully understand your notation there. You need proper use of brackets or else your question becomes ambiguous. Regardless, I'll show you how to do it:

When a variable has a negative exponent, that means it is in the denominator instead of the numerator. x^(-1) is the same as 1/x. This is also how you change your exponents to positive. If you have t^(-3) then by putting it in the denominator you remove the negative giving you 1/(t^3). The same is true for a negative exponent in the denominator, you would just move it to the numerator to remove the negative.

Hope this helps.

Answer 4

(t^3)^ -1/2(3t^3) i never seen any equation like this!

do you mean (t^3) -1/2(3t^3) ?