Help with a problem

[emistar333]

Hi, can someone please explain to me why this problem should have a positive answer? I am doing my homework from an online class. The answers are provided, so I know the answer should be positive, but I am confused as to why it should be positive. I thought the answer should be negative because the exponent on the denominator is an odd number. Shouldn't that make the 4 negative? I would greatly appreciate some clarity. Thanks so much.

Here is the problem I'm supposed to simplify:

(-2x⁴y³)² / (-3x⁵y⁷)³

My work:

= 4x⁸y⁶ / -27x¹⁵y²¹

I have it simplified to:

= -4 / 27x⁷y¹⁵

 

[stapel]

Here is the problem I'm supposed to simplify:

(-2x⁴y³)² / (-3x⁵y⁷)³

As posted, yes, the answer should have a "minus" sign on it.

 

[emistar333]

As posted, yes, the answer should have a "minus" sign on it.

Thank you! I guess their answer sheet was wrong.

 

[Ishuda]

Hi, can someone please explain to me why this problem should have a positive answer? I am doing my homework from an online class. The answers are provided, so I know the answer should be positive, but I am confused as to why it should be positive. I thought the answer should be negative because the exponent on the denominator is an odd number. Shouldn't that make the 4 negative? I would greatly appreciate some clarity. Thanks so much.

Here is the problem I'm supposed to simplify:

(-2x⁴y³)² / (-3x⁵y⁷)³

My work:

= 4x⁸y⁶ / -27x¹⁵y²¹

I have it simplified to:

= -4 / 27x⁷y¹⁵

Because Darth Vader invaded your realm and, as those of evil intent tend to do, tried to turn all that was positive into negative (and vice versa). Fortunately Sir stapel, a long time honorary member of the Jedi Knights, has thwarted Darth Vader again and allowed light to shine upon the solution so that the proper rendering may be accomplished.

 

[Deleted member 4993]

Because Darth Vader invaded your realm and, as those of evil intent tend to do, tried to turn all that was positive into negative (and vice versa). Fortunately Sir stapel, a long time honorary member of the Jedi Knights, has thwarted Darth Vader again and allowed light to shine upon the solution so that the proper rendering may be accomplished.

It is Dame Stapel - as far as I know.....

 

[lookagain]

Here is the problem I'm supposed to simplify:

(-2x⁴y³)² / (-3x⁵y⁷)³

My work:

= 4x⁸y⁶ / -27x¹⁵y²¹

I have it simplified to:

= -4 / 27x⁷y¹⁵

emistar333, your second two denominators must be amended to have
grouping symbols around them:


(-2x⁴y³)²/(-3x⁵y⁷)³

= 4x⁸y⁶/(-27x¹⁵y²¹)

= -4/(27x⁷y¹⁵)


= \(\displaystyle \ \dfrac{-4 \ }{ \ 27x^7y^{15} \ }\)

 

[Ishuda]

It is Dame Stapel - as far as I know.....

See what I mean about Darth Vader. This malevolent creature is at work everywhere changing words and attempting to get people into trouble.