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# i need help on my math homework

Sat 28 Mar, 2009 12:42 pm
simply the following
(5f^3 t^7)^3 (d^4 f^2)^5
could you please do it step by step
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Type: Question • Score: 1 • Views: 1,007 • Replies: 8

fresco

1
Sat 28 Mar, 2009 12:53 pm
@dubchick15,
How are you using the symbol ^ ?
JPB

3
Sat 28 Mar, 2009 01:06 pm
@dubchick15,
simply the following
(5f^3 t^7)^3 (d^4 f^2)^5

First do the outside exponents one at a time:
(5f^3 t^7)^3 = (125f^9 t^21) - multiple the exponents when you are raising a power to a power and apply the outside exponent to the constant as well.

5^3 = 125
(f^3)^3 = f^9
(t^7)^3 = t^21

(d^4 f^2)^5 = (d^20 f^10)

resulting in
(125f^9 t^21) (d^20 f^10)=

125f^9 t^21 d^20 f^10

collect like terms (only f in this case) by multiplying the constants and adding the exponents. f^10 is the same as 1f^10

1f^10 times 125f^9 = 125f^19

There are no other terms that can be combined. So the final answer is 125f^19 t^21 d^20 (in any order)
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JPB

1
Sat 28 Mar, 2009 01:06 pm
@fresco,
I assume it's to indicate an exponent
fresco

1
Sat 28 Mar, 2009 01:17 pm
@JPB,
It looks ambiguous to me.
patiodog

1
Sat 28 Mar, 2009 01:54 pm
@fresco,
Standard notation for exponent where superscript is unavailable. At least, I've seen it that way in some calculators, and that's how you enter an exponent in spreadsheets.
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NickFun

0
Sat 28 Mar, 2009 04:22 pm
I'm constantly confronted with questions like this in real life, especially when I'm doing my taxes. My accountant tells me to take pie squared multiplied by the intergers of 3 and divide by six to find the remaining integer which should result in an approximation of taxes owed. But the government always tells me I made a mistake.
patiodog

1
Sat 28 Mar, 2009 05:20 pm
@NickFun,
That's because your accountant is on acid and the IRS is smoking crack. There's just no synergy.
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djjd62

0
Sat 28 Mar, 2009 05:22 pm
@NickFun,
i like my pie round
0 Replies