How do you simplify #(ab)^-2 - Socratic
2017年3月16日 · See the entire simplification process below: First, remove the negative exponent by using this rule for exponents: x^color(red)(a) = 1/x^color(red)(-a) (ab)^color(red)(-2) = …
What is the square root of ab^2? - Socratic
2015年9月16日 · It is sqrt(a*b^2)=abs(b)*sqrta. 8970 views around the world You can reuse this answer
How do you simplify #(ab^4)(ab^2)#? - Socratic
2016年12月26日 · a^2b^6 In simplifying the given expression, Law of addition of exponents would apply. The exponent of both 'a' is one, hence on multiplication exponents would add to …
How do you expand log AB^2? - Socratic
2018年6月19日 · logA+2logB Using the product property, we have log(AB^2) = logA+logB^2 The power is moved in the front: logB^2=2logB :. log(AB^2) = logA+2logB
Prove that: #(a+b)/2 = sqrt( a*b)# When #a>=0# and #b>=0
2017年10月1日 · (a+b)/2 color(red)(>=) sqrt(ab)" " as shown below Note that: (a-b)^2 >= 0" " for any real values of a, b. Multiplying out, this becomes: a^2-2ab+b^2 >= 0 Add 4ab to both sides …
How do you prove that a group G is abelian if and only if a^2 b^2 …
2017年9月2日 · If a group G is Abelian, then for any two elements a and b, a*b = b*a Now, Define c=a*b which is also a member of G on virtue of closure property. Then c^2 = c*c implies …
How do you divide #\frac{a^2+2ab+b^2}{ab^2-a^2b} \-: (a+b)
2014年12月25日 · We can use the rule about division of rational expressions where you can change the division in a multiplication by flipping the second fraction.
What is the formula for (a+b)^3? - Socratic
2015年2月3日 · The answer is: (a+b)^3=a^3+3a^2b+3ab^2+b^3. It's easy to prove: (a+b)^3= =(a+b)(a+b)(a+b)= =(a^2+ab+ab+b^2)(a+b)= =(a^2+2ab+b^2)(a+b)= …
If a^2 + b^2 = 4 and (a-b)^2 =2, what is the value of ab? - Socratic
2018年3月30日 · The value of ab is 1. We can expand (a- b)^2 to see that (a- b)^2 = a^2 - 2ab + b^2, thus a^2 + b^2 - 2ab = 2. It follows that a^2 + b^2 = 2 + 2ab, and since we're given that …
How do you factor a^2 + 2a +ab +2b? - Socratic
2015年11月16日 · It is a^2+2a+ab+2b=a*(a+b)+2*(a+b)=(a+2)*(a+b) How do you find the two numbers by using the factoring method, if one number is seven more than...