更新1:
thank you for all the help
How would i simplify (81/16) ^ -3/4?
2008-11-25 9:57 am
If anyone could explain how they got the answer i would appreciate it. Ty in advance for your time
回答 (7)
2008-11-25 10:48 am
✔ 最佳答案
(81/16)^(-3/4)= ⁴√(81/16)^-3
= ⁴√(81^-3/16^-3)
= ⁴√[(3^-3)^4/(2^-3)^4]
= 3^-3/2^-3
= (1/3^3)/(1/2^3)
= (1/27)/(1/8)
= (1/27)(8/1)
= 8/27
2015-10-16 4:41 pm
(81/16)^-3/4
=(16/81)^3/4
=(2^4/3^4)^3/4
=2^3/3^3
=8/27
=(16/81)^3/4
=(2^4/3^4)^3/4
=2^3/3^3
=8/27
2008-11-25 10:20 am
1 / (81/16)^(3/4)
16^(3/4) / (81)^(3/4)
2³ / 3³
8 / 27
16^(3/4) / (81)^(3/4)
2³ / 3³
8 / 27
2008-11-25 10:11 am
fourth root of (81/16)^-3 = (3/2)^-3
This means,
to remove the minus sign of exponent, expand it and reciprocate
the answer will become 8/27
therefore, the answer = 8/27
This means,
to remove the minus sign of exponent, expand it and reciprocate
the answer will become 8/27
therefore, the answer = 8/27
2008-11-25 10:10 am
(81/16)^-3/4
(3/2)^-3 (because the fourth root of 81 is 3 and that of 16 is 2)
(1/1.5)^3
1/3.375 or (8/27)
(3/2)^-3 (because the fourth root of 81 is 3 and that of 16 is 2)
(1/1.5)^3
1/3.375 or (8/27)
參考: my brain
2008-11-25 10:04 am
81 = 3^4.
16 = 2^4.
So (81/16)^1/4 = 3/2
So (81/16)^3/4 = 27/8
So (81/16)^-3/4 = 8/27
16 = 2^4.
So (81/16)^1/4 = 3/2
So (81/16)^3/4 = 27/8
So (81/16)^-3/4 = 8/27
2008-11-25 10:04 am
OK,
(3^4 / 2^4) = -3 / 4
cancel the 4
(3 / 2 ) = -3
1 / (3/2)^3
1 / (27 / 8 )
therefore, the final answe is 8/27
(3^4 / 2^4) = -3 / 4
cancel the 4
(3 / 2 ) = -3
1 / (3/2)^3
1 / (27 / 8 )
therefore, the final answe is 8/27
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