In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:
√(x³) = square root of x³ = x^(3/2)

3 0

4 years ago

Deacon had 12 1/3 ounces of juice, but he drank 3 2/3 ounces. How much juice is left?

alexandr1967 [171]

You need to know:

$a \frac{b}{c} = a + \frac{b}{c} = \frac{(a*c) + b}{c}$

Be careful though:

$a \frac{b}{c} ≠ a(\frac{b}{c})$

Using this principle, we can say:
12 1/3 = 37/3
3 2/3 = 11/3
Quantity of juice left = Initial quantity - Quantity drunk
So:
Quantity of juice left = 37/3 - 11/3 = 26/3

There will be 26/3 ounces of juice remaining after 3 2/3 are drunk from the total of 12 1/3 ounces that Deacon had initially.

8 0

3 years ago

If x^{2} + y*sqrt{xy} = 10 and y^{2} + x*sqrt{xy} = 20, what is x?

dlinn [17]

Answer:

Step-by-step explanation:

If x and y are positive integers, what is the value of x√+y√x+y?

(1) x + y = 10

(2) xy−−√=2xy

5 0

3 years ago