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Mathematics 21 Online
OpenStudy (yamyam70):

is 1 ft ^2 = 144 inches? v( 12in^2)

OpenStudy (january123):

http://www.metric-conversions.org/length/inches-to-feet.htm this should help you

OpenStudy (yamyam70):

@january123 Im particularly confused with the squares (powers)

OpenStudy (january123):

i think "powers" just means multiply like...2*2 not 2+2

OpenStudy (yamyam70):

yep, so example \[648\pi ft^2 \times 12 inches^2/1 ft^2\]

OpenStudy (january123):

The product of powers rule assists with simplifying exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power

OpenStudy (solomonzelman):

well, yes \(\large\color{slate}{ 1~{\rm ft}^2=144~{\rm inch }^2 }\) you know that \(\large\color{slate}{ 1~{\rm ft}=12~{\rm inch } }\) and if you wanted to find the area of the square of 1ft by 1ft, you would say that it is \(\large\color{slate}{ (1~{\rm ft})^2 }\) \(\large\color{slate}{ 1^2~{\rm ft}^2 }\) \(\large\color{slate}{ 1~{\rm ft}^2 }\) Now the same area of the square but in inches. \(\large\color{slate}{ (12~{\rm inch })^2 }\) \(\large\color{slate}{ 12^2~{\rm ft}^2 }\) \(\large\color{slate}{ 144~{\rm ft}^2 }\)

OpenStudy (yamyam70):

yoiu mean 144 inches right?

OpenStudy (solomonzelman):

where?

OpenStudy (yamyam70):

at the bottom part

OpenStudy (solomonzelman):

no

OpenStudy (solomonzelman):

144 inches squared

OpenStudy (solomonzelman):

it is the area

OpenStudy (yamyam70):

\[1ft^2 = 144 inches ? \]

OpenStudy (solomonzelman):

I didn't say that

OpenStudy (yamyam70):

*inches^2

OpenStudy (solomonzelman):

yes

OpenStudy (yamyam70):

THANK YOU KIND SIR! :D

OpenStudy (solomonzelman):

no problem

OpenStudy (skullpatrol):

|dw:1424615927892:dw|

OpenStudy (yamyam70):

@skullpatrol , @january123 thanks for additonal inforation ^_^

OpenStudy (solomonzelman):

We know that \(\large\color{slate}{ 1~{\rm meter}= 100~{\rm cm} }\) BUT \(\large\color{slate}{ 1~{\rm meter}^2 \ne 100~{\rm cm}^2 }\) INSTEAD \(\large\color{slate}{ 1~{\rm meter}^2 \ne 100^2~{\rm cm}^2 }\) (which becomes) \(\large\color{slate}{ 1~{\rm meter}^2 \ne 10,000~{\rm cm}^2 }\) (Not writing \(\large\color{slate}{ 1^2 }\) because it is still \(\large\color{slate}{ 1 }\) )

OpenStudy (solomonzelman):

this with meters is just an example

OpenStudy (yamyam70):

oh thank you so much :)

OpenStudy (solomonzelman):

sure

OpenStudy (yamyam70):

you helped me alot, I am closing the question now :) Thanks again :)

OpenStudy (solomonzelman):

:D

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