how do i simplify -9/2x^-3/2??? please help i dun need a answer necessary just an explanation is fine :)
It equals -(9/2)x^3/2, if 2x^-3/2 is your denominator.
It is not clear from the way you have written it.
You need to learn when and how to use parentheses when typing equations.
its a fraction of -9 over 2 x to the power of -3/2... (-9/2)x^-3/2
What you just wrote could be either -9/[(2x)^(-3/2)]
or
-9/[2*x^(-3/2)]
They are not the same.
If it is the latter, my previous answer applies.
ok so -9 is to be in numerator and 2x^-3/2 which is 2x to the power or -3/2 come in the denominator so how do i simpify this...
To simplify -9/2x^(-3/2), you can follow these steps:
Step 1: Simplify the negative sign
The negative sign (-) belongs to the numerator, so we can write the expression as (-9)/(2x^(-3/2)).
Step 2: Simplify the denominator
To simplify the denominator, you can apply the rule of exponents. When you have x^(-n), it can be rewritten as 1/(x^n). In this case, x^(-3/2) is equivalent to 1/(x^(3/2)).
Step 3: Combine the steps
Now, the expression becomes (-9)/(2 * 1/(x^(3/2))). Simplify further by multiplying the fractions, which is equivalent to dividing by the reciprocal of the second fraction. Therefore, the expression becomes:
(-9) * (x^(3/2))/(2 * 1)
Step 4: Simplify the expression
Finally, simplify the expression by canceling out any common factors. In this case, there are no common factors. So the simplified form is:
(-9x^(3/2))/2
And that's how you simplify the expression -9/2x^(-3/2).