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?
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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.