A community for students.
Here's the question you clicked on:
 0 viewing
AmberlyKhan
 one year ago
All exponent rules? Adding, subtracting, multiplying, dividing, etc...
AmberlyKhan
 one year ago
All exponent rules? Adding, subtracting, multiplying, dividing, etc...

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can only add and subtract like terms, meaning each term has the same variables to the same power. For example you can add and subtract \(2x^4\) and \(6x^4\) by adding or subtracting the coefficients and leaving the exponents the same. Addition \[2x^4+(6x^4)=4x^4\] Subtraction \[2x^4(6x^4)=8x^4\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0With multiplication and division, the exponents change. Multiplication (multiply coefficients, add exponents) \[x^mx^n=x^{m+n}\] Example \[(8x^5y^7)(4x^3y^2)=32x^{5+3}y^{7+2}=32x^8y^9\] Division (divide coefficients, subtract exponents) \[\frac{ x^m }{ x^n }=x^{mn}\] Example\[\frac{ 8x^5y^7 }{ 4x^3y^2 }=2x^{53}y^{72}=2x^2y^5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Power to a power (multiply the exponents) \[(x^m)^n=x^{mn}\] Example \[(x^3y^5)^2=x^{3*2}y^{5*2}=x^6y^{10}\] Negative exponents (take the reciprocal, change the exponent to positive) \[x^{m}=\left( \frac{ 1 }{ x } \right)^m\] Example \[(3x)^5=\left( \frac{ 1 }{ 3x } \right)^5\] \[\left( \frac{ 1 }{ 2 } \right)^{3}=2^3=8\] Anything to the 0 power is 1. \[(x^4+7)^0=1\] \[5(x^6y^3)^0=5*1=5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Rational exponents / Radicals \[\sqrt[n]{x^m}=x^\frac{ m }{ n }\] Example \[\sqrt{3x}=(3x)^\frac{ 1 }{ 2 }\] \[\sqrt[4]{(12x)^5}=(12x)^\frac{ 5 }{ 4 }\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.