what is the simplified form of the expression (b/7)^2

- anonymous

what is the simplified form of the expression (b/7)^2

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- anonymous

|dw:1369532637410:dw|

- anonymous

@satellite73 I need help

- anonymous

please

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## More answers

- anonymous

The choices are|dw:1369532959983:dw|

- anonymous

\[(\frac{b}{7})^2 = \frac{b^2}{7^2} = \frac{b^2}{49}\]

- anonymous

B

- anonymous

just square top and bottom on similar questions

- anonymous

Thanks so much I have 2 other questions if you guys don't mind

- anonymous

|dw:1369533436214:dw|

- anonymous

Pull out the coefficients and use \[x^ax^b=x^{a+b}\]

- anonymous

I don't know this at all
I am a parent trying to give my 2 children some math for the summer so I am asking for the help because I have not done algebra in 25 years

- anonymous

Okay, well do you know what coefficients are?

- anonymous

yes

- anonymous

Okay well then move those out so you get \[ 2*3x^6x^{1/2} \] and use the above formula.

- anonymous

the coefficients are the numbers in front of the variable
whenever you are multiplying variables with powers you always must add the powers together

- anonymous

what will the final answer be?

- anonymous

6x^3

- anonymous

\[6x ^{3}\]

- anonymous

You need to add the powers, not multiply. so \[6x^{6+1/2}\]

- anonymous

ok so what is the answer

- anonymous

I will give you the choices

- anonymous

the answer would be\[6x^\frac{ 13 }{ 2 }\]

- anonymous

I have given you the answer, there is only one thing you need to do... Do you know how to add fractions with whole numbers?

- anonymous

that is 6x^13/2

- anonymous

so its \[5x \frac{ 13 }{2 }\]

- anonymous

Guys I feel so old doing this

- anonymous

all you need to do is add the powers which is 6+.5 and you get 6.5 which is 13/2 in fraction form
so final answer would be 6x^13/2

- anonymous

the dean at my children school said they were cheating so I have to give this these math test so that can get ready to take the big test to passed algebra

- anonymous

this really means the world to me all the help from you guys

- anonymous

I have another if your up for it!

- anonymous

bring it on

- anonymous

|dw:1369534461113:dw|

- anonymous

on the top part is that C^9

- anonymous

yes

- anonymous

|dw:1369534620249:dw|

- anonymous

ok so this expression can be re-written as
\[\frac{ x^9 }{ d^7 }/\frac{ x^14 }{ d^10 }\]
which can be written as
\[\frac{ x^9 }{ d^7 }*\frac{ d^10 }{ x^14 }\]
the equation software on here is complexed but that is d^10 and x^-14

- anonymous

that is not a choice

- anonymous

now what we can do is simplify the expression easier this way and we do this by subtracting the powers of the variable x and subtract the powers of the variable d
not finished yet

- anonymous

o sorry

- anonymous

\[\frac{ x^9 }{ x^14 }=\frac{ 1 }{ x^5 }\]
andthe other one whic you get
\[\frac{ d^10 }{ d^7 }=d^3\]
combine and you get \[\frac{ d^3 }{ c^5 }\]
sorry the x should have been a C

- anonymous

if you can't see that it is d^3/c^5

- anonymous

This one I tried but I got it wrong
is it B

- anonymous

are you guys still with me?

- anonymous

yea my mom called for something but im back

- anonymous

Write the recursive formula for the geometric sequence.
a1 = -2 a2 = 8 a3 = -32
A. an = -4 + an-1
B. an = -2 + an-1
C. an = -2 • an-1
D. an = -4 • an-1

- anonymous

do you want me to open this up in a new question so I can give you an award

- anonymous

no im ok but i am looking at the sequences and none of them can i derive from the formulas given

- anonymous

ohh never mind i got it the answer should be D

- anonymous

You rock

- anonymous

I am going to open up another question I want to give you an award for helping me

- anonymous

haha thank you

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