The answer would be A!
Whenever there is a fraction in the exponent, the numerator is under the square root, and the denominator is on the outside of the square root!
Additionally, since the negative is outside of the square toot, then it also outside of the parenthesis.
Y² = 12
y = 2√3
x = √6
Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3
In short, Your Answer would be √2 / 3
Hope this helps!
Answer:
Third option is correct: 1 / (t+4)^2
Step-by-step explanation:
This equation can be written as the following:
(t+3)/(t+4)*(1/t^2+7t+12)
We know this because of the division of fractions. For example:
(1/y)/(1/x) = (1/y)*(x/1)
Now that we know this, we can advance.
Now we have to try to factor (t^2+7t+12)
We can make this into (t+3)(t+4)
Ah! Perfect! There is a t+3 in the denominator of the first fraction!
We can now cancel these out.
Now our equation looks like this:
(1 / t+4) * (1 / t+4)
This can also be written as 1^2 / (t+4)^2 = 1 / (t+4) ^2
So the correct option is the third one.
