Please Help (algebra)

posledela

To solve this, you need to know three exponent rules:
1) Power of a product
Basically says $(ab)^{2} = a^{2} b^{2}$ . This means a product raised to a power is the same as taking each factor to that power and multiplying them.

For example: $(5a)^{2} = 5^{2} a^{2}$

2) Product of powers
Basically says $a^{m} a^{n} = a^{m+n}$ . When two expressions with the same base (a) are multiplied, you can add their exponents while keeping the same base.

For example: $a^{2} a^{3} = a^{2+3} = a^{5}$

3) Power of a power
Basically says $(a^{m})^{n} = a^{m \times n}$ . When an exponent is being raised to a exponent, you can multiply the exponents.

For example: $(a^{2})^{3} = a^{(2 \times 3)} = a^{6}$
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Back to your problem:
You are asked to simplify $(6x^{2} y)^{2} (y^{2})^{3}$ , Tackle it by simplifying both factors and then multiplying them together and simplifying again.

1) First use the power of a product rule to change $(6x^{2} y)^{2}$ into $6^{2} (x^{2})^{2} y^{2}$ . Simplify it into $
36 x^{4} y^{2}$ using the power of a power rule.

2) Simplify $(y^{2})^{3}$ into $y^{6}$ using the power of a power rule.

3) Multiply the simplified factors from part one and two and simplify using the product of powers rule:
$(36 x^{4} y^{2})(y^{6})\\
= (36 x^{4})(y^{2} y^{6})\\
= (36 x^{4})(y^{2+6}) \\
= 36 x^{4}y^{8}$

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Answer: $36 x^{4}y^{8}$

6 0

3 years ago

Show work

salantis [7]

The answer is 153.86:
$(7 \times 7) \times \pi = 49 \times 3.14 \\ = 153.86$
if we round the answer it will be
153.9

6 0

3 years ago

I know it's not a lot of points but yeah :(

tatuchka [14]

Answer:

2) A, 3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total? 4) A, C, E. 5) 4

Step-by-step explanation:

2) Elena already walked 12 miles, she then walks another 1/4 of those 12 miles. The answer is A.

3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total?

4) to find the answers figure out how much they multiply one number by and multiply the other number by that amount. For example, the ratio 2:5 can be the same as 4:10 because you are multiplying the original ratio by 2 to get the new ratio.

5) The diameter of a circle is the length of one side to another. to find the length of the outer edge you need to find the circumference. To find the circumference of a circle you must use $\pi$ *Diameter. To find the answer we must use 180/ $\pi$ D. Since pi can not be defined we will use 3.14 as a rough estimation. 3.14*12=37.68. 180/37.68=4.777070064. Since it doesn't make much sense to do .8 of a invitation then we must round down. The answer is 4.

3 0

3 years ago

PLS HELPP QUICK QUESTION AND OPTIONS ARE BELOW IN ATTACHED FILE....

podryga [215]

Altogether there are 14 flavours of oatmeal.
The number of grams of fiber (per serving) is shown in the list/table.

What you're expected to do is to count the number of flavours that has the given number of grams of fibre (0-1, 2-3,...) and drag the appropriate tile to the appropriate location in the graph.

For example, for 0-1 grams of fibre. I see there is are 2- "1", and no zeroes. So there is only one single flavour that has 0-1 gram of fibre in a serving. You will need to drag the tile marked "2" in the first position (0-1).

For 2-3 grams, I see 3 "2" and 3 "3" for a total of six flavours. So you would drag the tile marked "6" to the second position in the graph (2-3).

Similarly, for 4-5 grams, I see 4-"4" and 1-"5", so again you drag the tile marked "5" to the third position on the graph.

Do the same for 6-7 grams, I see only 1-"6", so drag the tile marked "1" to the fourth position, then you're done!

Check: 2+6+5+1=14 ✔

3 0

4 years ago

What is the solution to the system of equation me below

Elza [17]

Since both sides are equal, it is Infinite solutions

6 0

3 years ago

Please Help (algebra)​

Please Help (algebra)