13

Mathematics

1 answer:

il63 [147K]1 year ago

4 0

The required value after simplification of the s = -16/3. None of these are correct.

Given that,
To simplify $[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2$ and to find the value of s in $x^s$ .

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Simplification,

$=[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\\= \frac{x^{4/3}x^{-1}}{x^2x^3*{x}^{2/3}}\\= \frac{x^{1/3}}{x^{17/3}}\\=x^{-16/3}$
Comparing with $x^S$
s = -16/3

Thus, the required value of the s = -16/3. None of these are correct.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

You might be interested in

an empty container has a mass of 120 grams. 50 ml of sugar solution is added and the total mass rises to 190g. what is the densi

uranmaximum [27]

The mass of the solution is 190 g - 120 g = 70 g. Thus, it's density is 70 g / 50 mL = 1.4 g/mL.

7 0

3 years ago

Match the formula to the correct figure.

ss7ja [257]

It is asking you to move the right formula with its match.

Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.

Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.

Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.

Example: l=5 w=5 h=5
(Length * Width * Hieght)

5*5*5=125 for the answer.

Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.

Example: r=3 h=11
π≈3.14
$\frac{1}{3} *3 ^{2} *11=33$
33 is your answer.

Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.

Example:
b=2 h=10
$\frac{1}{3} *2*10=6.666667$
Rounded: 6.6

Hope this helps!~

(Look at the attachment)