Simplify the quantity of a times b times c to the fourth power divided by the quantity 6 times a to the negative second power times b to the third power all to the negative second power. HELP
Answers:

six times b to the fifth power divided by a to the sixth power times c to the eighth power

thirty six times b to the fourth power divided by a squared times c to the eighth power

six times b to the fourth power divided by a to the sixth power times c to the eighth power

thirty six times b to the fourth power divided by a to the six power times c to the eighth power

Question

Simplify the quantity of a times b times c to the fourth power divided by the quantity 6 times a to the negative second power times b to the third power all to the negative second power. HELP
Answers:

 	
	
six times b to the fifth power divided by a to the sixth power times c to the eighth power
	
thirty six times b to the fourth power divided by a squared times c to the eighth power
	
six times b to the fourth power divided by a to the sixth power times c to the eighth power
	
thirty six times b to the fourth power divided by a to the six power times c to the eighth power

mathlegend · Answer

Could you write out the actual numbers for the question? @chocodropa7

anonymous · Answer

Ill try

anonymous · Answer

(abc^4 over 6a^-2b^-3) to the -2 power

anonymous · Answer

^ represent power

mathlegend · Answer

$$(abc ^{4}/6*a ^{-2}b ^{3})^{-2}$$

mathlegend · Answer

Is it basically like what I posted?

anonymous · Answer

yes

anonymous · Answer

the three is negative though

anonymous · Answer

o wait no it's not your right

mathlegend · Answer

Okay

mathlegend · Answer

So first we have to multiply 

a, b, & c by the -2

mathlegend · Answer

$$a ^{-2}b ^{-2}c ^{-8}/36a ^{4}b ^{-6}$$

mathlegend · Answer

Do you understand that so far?

anonymous · Answer

yes

mathlegend · Answer

Now, we must remember that NEGATIVE exponents are forced to the denominator... and turn positive. Any/Everything else stays in the numerator.

mathlegend · Answer

But before we do that we must simplify the 'a' and the 'b'

mathlegend · Answer

$$a ^{-2}-a ^{4} = a ^{-6}$$
$$b ^{-2}-b ^{-6}=b ^{4}$$

mathlegend · Answer

The 'c' remains since it can not be simplified anymore than that.

mathlegend · Answer

So our a and c are both negative which means they must be shifted to the denominator.

mathlegend · Answer

$$\frac{ 36b ^{4} }{ a ^{6}c ^{8} }$$

mathlegend · Answer

Understand?

mathlegend · Answer

So your last choice... is your answer. :) @chocodropa7

anonymous · Answer

Yes, so the answer would be d thank you!

mathlegend · Answer

You are welcome. :)

anonymous · Answer

Could  you also help me with how to write cube root of fifteen in exponential form

mathlegend · Answer

Honestly, I do not know how to do that.

anonymous · Answer

$$\sqrt[3]{15}$$

mathlegend · Answer

That equals.... 2.466212074

anonymous · Answer

oh ok Thank You anyways