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 This topic has 7 replies, 7 voices, and was last updated 12 years, 1 month ago by squeak.

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January 18, 2012 12:22 am at 12:22 am #601674supergirl613Member
I know, I seem to be the only one asking for math help, but i need it!
Ok so this problem is with exponents
4(3m^3)^2
the answer is 36m^6 but I don’t know how to get it.
Can someone please explain it to me(or more than 1 person)
thanks so much!!
January 18, 2012 12:32 am at 12:32 am #844237squeakParticipantSquare what is inside the parethesis. That makes 9m^6. Now multiply by 4. Tada
January 18, 2012 12:36 am at 12:36 am #844238ultimateskierMemberok so PEMDAS says u 1st wud distribute da sq into the parentheses so now u have 9m^6 and then u multiply the 4 in so you get 36m^6
January 18, 2012 12:37 am at 12:37 am #844239☕️coffee addictParticipantUse pemdas
Order of math (parenthesis, exponent, multiply and divide, add and subtract)
4(9m6)= 36m6
January 18, 2012 12:43 am at 12:43 am #844240thecuriousoneMemberPEMDAS
In this case, you solve for the exponent first. So (3m^3)^2 = 9m^6
Then you multiply by 4:
4(9m^6)= 36m^6
January 18, 2012 1:30 am at 1:30 am #844241DyafMavenParticipantThis a Term 4(3m^3)^2 which you want to simplify
You need to two different ideas to simplify this term
1. The Order of Operations (PEMDAS)
2. Laws of Exponents
So first lets use the order of operations. So lets first use the outside exponent which after the paratheses. Since the exponent is outside the parentheses it applies both to the 3 and to m^3. 3^2 = 9 and (m^3)^2 = m^6. Because one of the rules of exponents says if you have power raised to another power you multiply the powers. Then the final step is multiplication. So now multiply 4 * 9 * m^6 and you get 36m^6.
If you want an explanation of the laws of exponents or PEMDAS in more depth just ask.
Or any other math help any level I would love to help.
January 18, 2012 2:07 am at 2:07 am #844242dash™ParticipantThere are three basic rules that need to be understood first:
The order of operations in this case is first parentesis, then powers and finally multiplication.
When raising the product of 2 factors by a power, both factors need to be raised.
When muliplying the product of 2 factors by another factor, only 1 factor needs to be multiplied.
Starting with 3m^3 (which cannot be simplified) the first step is to square both 3 and m^3 giving 9m^6. The multiplication step only needs to be performed on one of the factors so we’ll just multiply 9 by 4 giving the result of 36m^6
January 18, 2012 4:22 am at 4:22 am #844243squeakParticipantLol. These threads are always a race to see who can answer fastest. Everyone after that just looks silly. I bet the mods purposely hold off on approving responses until there are a minimum of 7 identical responses 😀

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