If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?Thanks for explaining it well!How to do it?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/18 03:37:57

If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?Thanks for explaining it well!How to do it?
If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?
Thanks for explaining it well!How to do it?

If a and b are positive integers and (a^1/2 * b^1/3)^6=432,what is the value of ab?Thanks for explaining it well!How to do it?
Best Answer
[a^(1/2) * b^(1/3)]^6 = 432
a^(6/2) * b^(6/3) = 432
a^3 * b^2 = 432
432 = 27 * 16 = 3^3 * 4^2
So a = 3 and b = 4
Thus ab = 3*4 = 12
3 months ago

(a^1/2×b^1/3)6=432
a^(1/2×6)×b^(1/3×6)=432
a³b²=432
432=2×2×2×2×3×3×3=3³×4²
So a=3,b=4,ab=12

原式= a^3*b^2=432=2*2*2*2*27
a=4 b=3
ab=12

(a^1/2 * b^1/3) ^6=432
a^3 * b^2=432=3^3*2^4=3^3*4^2
so,
a=3,b=4.

If A×B=6(A-B),what are the minimum values of A and They are faced with the same kinds of challenges and problems after graduation__we are.A.as if B.even if C.as D.when If A and B are mutually exclusive events where P(A)=0.2andP(B)=0.3,then p(A and B) is If A and B are independent events where P(A)=0.8,and P(B)=0.5,then P(A or B) is 急 if a and b are both positive intergers and a平方-b平方=7 .what is the value of a 初三英语 boys and girls ,you are sure to make { }amazing difference today if youboys and girls ,you are sure to make { }amazing difference today if you try your best and relax yourself .A.a B.an C./ Eating fruits and vegetables____good for people if they are weak and tired.A.is B.are C.were D.was明天就要考试了, If a and b are integers,10A3=1,152A7=3,and then 379A6 is equal to______.说明理由 if four children of the same parents are blood type A,B,O and AB,怎么翻译? You can bay some food in the supermarket.( )you are hungry.A.and B.or C.if D.but If you are too stressed out and angry ,you should eat...A .beef B.DangShen C.HuangQi D .tofu If you are stressd out and angry you should eat more( )a.yin foods.b.hot yang foodsc.HuangQi herbs sat grammarintimacy love and marriage are three (different if interrelated subjects)a b.interrelated subjects being,however different sat math大家看看这句话:If there are A men enrolled and B women enrolled in a school.What percent of those enrolled are men?答案:A:B/(A+B) %B:100B/(A+B) %你们选哪个呢? If you are looked at for more than necessary ,youwill look at yourself up and down,to see if thereis_______ wrong with you .A something B anything GRE SECTION 47 7IF a and b are positive and 7a-5=2.what is the greatest possible of ab?10 为什么? after the meeting,we will have a party.if you()free,come and join us.A.are.B.will be 选A还是B?为什么? If a,b,c,d are rational numbers(有理数),|a-b|≤9,|c—d|≤16 and |a-b-c+d|=25If a,b,c,d are rational numbers(有理数),|a-b|≤9,|c—d|≤16 and |a-b-c+d|=25,then |b-a|-|d—c|= .