Help Please! What is the simplest form of the product? ^3 sqrt 4x^2 * ^3 sqrt 8x^7

Answers

Answer 1

Answer:

Answer:

$2x^3\sqrt[3]{4}$

Step-by-step explanation:

We have been given an expression $\sqrt[3]{4x^2} *\sqrt[3]{8x^7}$ and we are asked to find the product of our given expression.

Using exponent rule of power to powers $(a^(mn)=(a^m)^n)$ we can write $8x^7$ as $(2x^2)^3x$ and $4x^2=(2x)^2$ .

Upon substituting these values in our expression we will get,

$\sqrt[3]{4x^2} *\sqrt[3]{(2x^2)^3x}$

Using exponent rule $\sqrt[n]{x^m} =x^{(m)/(n)}$ we will get,

$\sqrt[3]{4x^2} *2x^2\sqrt[3]{x}$

Multiplying $\sqrt[3]{x}$ by $\sqrt[3]{4x^2}$ we will get,

$\sqrt[3]{4x^3} *2x^2$

Using exponent rule $\sqrt[n]{x^m} =x^{(m)/(n)}$ we will get,

$x\sqrt[3]{4}*2x^2$

$x*2x^2\sqrt[3]{4}$

$2x^3\sqrt[3]{4}$

Therefore, the simplest form of the product of our given expression will be $2x^3\sqrt[3]{4}$ .

Answer 2

Answer:

Answer:

$2x^(3) * \sqrt[3]{4}$

Step-by-step explanation:

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An ice company charged $3.40 for 4 bags of ice. if a convenience store bought 6 bags of ice how much would it have cost them?

Answers

This one is pretty simple. So you'd need to divide 3.40 by 4 to find the price of one bag of ice.

One bag of ice cost 0.85

0.85 * 6 = 5.10

$5.10 would be your new total

One thumbtack weighs 0.25 ounce. How many thumbtacks are in a box that has a mass of 3500 grams? (Hint: 1oz ~28g

Answers

Alright so .25 oz is 1/4 of 1oz. Therefore you take 28 and divide it by 4 and get 7.

Then take 3500 and divide it by 7 which makes 500 thumb tacks.

I think idk though.

Final answer:

To find out how many thumbtacks are in the box, first convert the total mass of the box from grams to ounces using a conversion factor. Then, divide the total weight of the box in ounces by the weight of one thumbtack.

Explanation:

To answer the question about the number of thumbtacks in a box totaling 3500g in mass, we first need to convert the total mass of the box to the same units as the mass per thumbtack, in this case, ounces.

From the relationship, we know that 1 oz = 28.349 g. We can convert the mass of the box into ounces by multiplying the grams by the unit conversion factor. So the weight of the box in ounces is 3500 g * (1 oz / 28.349 g).

To find the number of thumbtacks in the box, then divide the total weight of the box in ounces by the weight of one thumbtack in ounces (0.25 oz).

Learn more about unit conversion here:

brainly.com/question/32030244

#SPJ11

What the unit rate in 14 hours in 2 weeks

Answers

the answer is 7 hours per week

Nine is 4% of what number

Answers

Let's call the number we are looking for x

9 = 4% * x

9 = 4/100 * x

9 = 0.04 * x

x = 9/0.04

x = 225

Nine is 4% of 225.

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)

Solve the equation 2(d-6)=3d+5

Answers

$2(d-6)=3d+5\n\n2d-12=3d+5\n\n2d-3d=5+12\n\n-d=17\ /\cdot(-1)\n\nd=-17$

Hey Justinjames23m,

This is how you do it, step by step:

2(d - 6) = 3d + 5
2d - 12 = 3d + 5
2d = 3d + 17

d = -17

Hope this helps!

Chen :D

I am a number less than 3,000.when you divide me by 32,my remainder is 30.when you divide me by 58 ,my remainder is 44.What number am I?

Answers

n=32a+30=58b+44.
Chinese remainder theorem whould have been useful, but you won't get it. So, you've got something more complicated in there...
Well, you get numbers 30, 62, 94, 126, 158, 190, 222 etc for the first one and 44, 102, 160, 218 etc for the second one...
I just can't do without that one! :)) The main idea is that you could calculate all numbers under 3000 in both conditions: the lists only share our number (supposedly :)) )

The answer is 3000 and I have it right

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