Question

What is the simplified form of the expression?

Answer 1

\[\frac{ c ^{9}d ^{-7} }{ c ^{14}d ^{-10} }\]

Answer 2

Just be reminded that negative exponents mean they are reciprocal.
Ex. \[d ^{-7} = \frac{ 1 }{ d^7 }\]
Now, if you still don't get it. Free to post replies. :D

Answer 3

i have four choice given
A. \[\frac{ d ^{2} }{ d ^{4} }\]
B. \[c ^{5}d ^{3}\]
C. \[\frac{ d ^{3} }{ c ^{5} }\]
D. \[c ^{2}d ^{4}\]

Answer 4

i would say D
Am i wrong

Answer 5

Wait. It's also important that you understand the concept behind calculations.

Answer 6

Can you tell us why?

Answer 7

The answer is not actually D. :)

Answer 8

yes you are correct but i just guessed it

Answer 9

@Yttrium sorry for guessing, Can you explain it

Answer 10

As I've said, negative exponents mean positive exponents of its reciprocals. Now, can you transform the negative exponents into positive exponents of its reciprocal? You can see my example.

Answer 11

\[c ^{9}d ^{7}\] like that

Answer 12

No. It should be \[c^9(\frac{ 1 }{ d^7 })\]
Get why?

Answer 13

why??

Answer 14

and how?

Answer 15

it is because\[d ^{-7} = \frac{ 1 }{ }\]
you get it now?

Answer 16

yes got it

Answer 17

So, can you rewrite our given now?

Answer 18

\[c ^{9}=\frac{ 1 }{ d ^{7} }\]\[\frac{ c ^{9} }{ d ^{7} }\]

Answer 19

like that isn't it

Answer 20

Yes. That is our numerator. But how about the denominator?

Answer 21

is the same way, can you sow how to do the denominator

Answer 22

\[d ^{-10}=\frac{ d ^{10} }{ 1 }\]

Answer 23

that is correct IF AND ONLY IF we are transforming the denominator. Just be careful.

Answer 24

So, what would be answer then?

Answer 25

\[\frac{ d ^{10} }{ c ^{14} }\]

Answer 26

So, combining the numerator and the denominator you will have?

Answer 27

\[\frac{ c^9d ^{10} }{ c ^{14}d^7 }\]
So you get ?

Answer 28

@Mimi_x3 can you help me on this one

Answer 29

Hint: When dividing numbers raised to a power, you can just find the subtract the second power from the first power if and only if the bases are the same(i.e \[\frac{ c ^{9} }{ c ^{14} } \] can be rewritten as \[c ^{9-14}\] since they have the common base c.

Answer 30

\[c ^{-5}d ^{3}\] is the equation

Answer 31

Yes. But of course, you need to transform the negative exponents into positive, right? :)

Answer 32

so choice B is correct

Answer 33

No. As what I've said we can obtain the positive exponents by reciprocating the negative exponents.

Answer 34

then it should be C

Answer 35

Yes. :)

Answer 36

What is the simplified form of the expression?\[( \frac{ m ^{-1}m ^{5} }{ m ^{-2} })^{-3}\]

Answer 37

@Yttrium this one B is correct right.

Answer 38

Yes it is. :)