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Mathematics 15 Online
OpenStudy (ineedhelp10):

help! question in comments

OpenStudy (ineedhelp10):

\[4g ^{3}h \times 2g ^{8}h ^{2}\]

OpenStudy (ineedhelp10):

Simplify

OpenStudy (ineedhelp10):

@mathstudent55 help please?

OpenStudy (ineedhelp10):

I'm not sure what exponent is h supposed to have

OpenStudy (anonymous):

{8g^11h3}

OpenStudy (anonymous):

{8g^11h^3}

OpenStudy (mathstudent55):

Regroup the factors: \( \Large 4g ^{3}h \times 2g ^{8}h ^{2}\) \( \Large =(4 \times 2) \times (g ^{3} \times g^8) \times (h \times h ^{2})\)

OpenStudy (mathstudent55):

4 x 2 is easy For the g and h variables, use the rule \(\Large a^m \times a^n = a^{m + n} \)

OpenStudy (ineedhelp10):

Yeah, so far I have \[8g ^{11}\]

OpenStudy (mathstudent55):

A plain h is the same as \(h^1\) .

OpenStudy (mathstudent55):

So far so good.

OpenStudy (ineedhelp10):

Ahhhh! Okay that was what I was mostly mistaken in. So then it'll be 8g^11h^3 ?

OpenStudy (mathstudent55):

Correct.

OpenStudy (ineedhelp10):

Thanks, would you mind helping me out with another expnent problem please?

OpenStudy (mathstudent55):

\(\Large =(4 \times 2) \times (g ^{3} \times g^8) \times (\color{red}{h} \times h ^{2})\) \(\Large =(4 \times 2) \times (g ^{3} \times g^8) \times (\color{red}{h^1} \times h ^{2})\) \(\Large =8g^{11}h^3\)

OpenStudy (mathstudent55):

sure, one more

OpenStudy (ineedhelp10):

Okay, I'll post it in another post so I can give you a medal

OpenStudy (mathstudent55):

Great. Thanks.

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