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\(\sqrt[3]{\frac{27}{8}}^4 = {\frac{3}{2}}^4 \\ = \frac{81}{16}\)

\({\frac{27}{8}}^{\frac{4}{3}} = \sqrt[3]{\frac{27}{8}}^{4}\)  

Fifth or Sixth Grades and above:

If you are multiplying 11x by -3,

\(11x(-3) = 11(-3) \times x(-3) \\ = -33 \times -3x \\ = -33 \times -3 \times x \\ = 99 \times x \\ = 99x\) 

Distributive property of multiplication formula is

\(a(b + c) = ab + ac\)

k = √k

k = 0

k = 1

Because 0² = 0, √0 = 0.

Because 1² = 1, √1 = 1.

Hello!

4^1/5(4^0.3)

read correctly according to the rules:

4¹ / (5 * 4^0.3)  = 4 / (5 * 1.5157) = 4 / 7.57858 = 0.527803

4^1/5(4^0.3) = 0.527803

Greeting asinus :- ) !

\(\frac{3}{5} - \frac{92}{517} \\ = \frac{1551}{2585} - \frac{460}{2585} \\ = \frac{1551-460}{2585} \\ = \frac{1091}{2585}. \\ This fraction is in simplified form, so this is the answer.\)   

\({3}^{-2}\times{a}^{4}\)

\(\frac{1}{{3}^{2}}\times{a}^{4}\)

\(\frac{1}{9}\times{a}^{4}\)

\(\frac{1}{9}{a}^{4}\)

\(\frac{{a}^{4}}{9}\)

\(15 \times x = 10 \times 9 \\ 15 \times x = 90 \\ 15 x = 90 | ÷ 15 \\ x = 6\) 

\(\frac{{8x}^{-3}\times{y}^{2}\times{z}^{4}}{{5x}^{3}\times y\times{z}^{-2}}\)

\(\frac{8\times{y}^{2}\times{z}^{4}\times{z}^{2}}{{5x}^{3}\times y\times{x}^{3}}\)

\(\frac{8\times{y}^{2}\times{z}^{6}}{{5x}^{6}\times y}\)

\(\frac{8\times y\times{z}^{6}}{{5x}^{6}}\)

\(\frac{8y{z}^{6}}{{5x}^{6}}\)

Expand using  cos(a+b)

Then simplify

X=5pi/4,  7pi/4

An FM radio station has a frequency of 88.9 MHz (megahertz). What is the wavelength in meters?

So this is     88.9 *10^6  wavelengths per sec     

The speed of radio waves is about     3*10^8 m/sec

\(\frac{3*10^8\;m}{1 sec} \times \frac{1sec}{88.9*10^6\;wavelengths}\\ \mbox{The seconds cancel out leaving you with}\\ =\frac{3*10^8\;m}{88.9*10^6\;wavelengths}\\ =\frac{3*10^2\;m}{88.9\;wavelengths}\\ =\frac{300\;m}{88.9\;wavelengths}\\ \approx \frac{3.375\;m}{1\;wavelengths}\\ \mbox{Wavelength is about 3.375m} \)

Wavelength=speed of light / Frequency

WL=2.99792458 x 10^8 / 8.89 x 10^7

WL=3.37 meters-wavelength of the FM radio station.

5 root of m10n6

I am going to interpret this as 

\(\sqrt[5]{m^{10}}*n^6\\ =(m^{10})^{1/5}*n^6\\ =m^2*n^6\\ =m^2n^6\\~\\ or\\~\\ \sqrt[5]{m^{10}n^6}\\ ={m^{2}n^{6/5}}\\ ={m^{2}n^{1.2}}\\\)

The terminal side of θ lies on the given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line

You can use my pic to work them out for yourself. :)

36*6=216

How to find multiples-

a multiple of a number is any product from that number.

How to multiply-

6x8= 6+6+6+6+6+6+6+6 =8+8+8+8+8+8 = 48

so you take the first number and add it as many times as the second or flip as shown above. The multiplication symbol is either a dot, a x, or *.

10 people. Because take the 40 people who play soccer and possibly other sports, subtract 15 people who play all, subtract 5 people who play only basketball and soccer, subtract 10 people who only play soccer, with ten left who have to play only both baseball and soccer.

Perimeter is the outside of the shape. Like the perimeter of your back yard is the fence.

it is estimated that the carnival will last four hours and that the chosen game will run on average five times each minute of the carnival. if it cost $1 to play the game and each prize costs the school $3, how much money can the school expect to make from this game? show your method for calculating and your workings.

I'm not sure that I understand the question correctly, but will give it a go!.

4 hours X 60 minutes=240 minutes

240 minutes X 5 =1,200 number of time the game is played.

1,200 X $1=$1,200 gross revenues from the game.

240 minutes X $3 prize=$720 paid out by school in prizes.

$1,200 - $720 =$480 expected net revenue to the school.

    4,6,8,10,    divide into two         15,19,22,25

                               then divide into 4

4,           6 ,8,      10,                            15,        19,22,      25

(6+8)/2=7                                                    (19+22)/2=20.5

interquartile range = 20.5 - 7 = 13.5

For the sake of ease, let's change 36 into a fraction.

36/1 * 4/9

Now, multiply the numerators together to get the product's numerator and the denominators together to get the product's denominator.

36 * 4 = 144

1 * 9 =

144/9

Now simplify...

144/9 = 16

There's your answer!

36 * 4/9 = 16

3^-2 (a^4)

It's meticulous to solve a negative exponent, so find the reciprocal of 3^-2 and change the -2 to a positive 2.

1 / 3^2

There! Now add the a^4 back...

1(a^4) / 3^2

a^4 / 3^2

First, solve 3^2...

3 * 3 = 9

Put that in...

a^4 / 9

And that's it!

3^-2 * a^4 = a^4 / 9 = 1/9a^4

Thanks, Guest! I hope you cherish your life as well, I bet it's one that will help others realize to.

In right sided triangles, follow the Pythagorean theorum.

a^2 + b^2 = c^2

This means that the hypotenuse squared is equal to the sum of the squares of the other sides.

To find the height, you can modify it a bit.

c^2 - a^2 = b^2

Let's do an example.

A right triangle has a base length of 5 and a height of 3.

5^2 + 3^2 = hypotenuse^2

25 + 9 = 34 = hypotenuse^2

The square root of 34 is approximately 5.83, therefore a triangle with a length of 5 and a height of 3 will have a hypotenuse of about 5.83.

Let's continue the example to find height.

Suppose the right triangle's height is unknown.

You know the hypotenuse of the triangle is about 5.83, and the length is 3.

5.83^2 - 3^2 = height^2

5.83^2 is approximately 33.99, and 3^2 is 9...

33.99 - 9 = 24.99

The square root of 24.99 is a bit less than 5, but when rounded it equals 5.

This matches the height we got in the first example!

Hope this helps!

-Anon4338