how do you simplify 4^(3/2) without using negative exponents?
2009-05-21 11:08 am
I'm reviewing my basic algebra and i have come to find out i'm missing a lot of core skills.. i remember maybe 70% of what i learned.. i think i'm being generous but hey i luv myself.. thanx guys..
回答 (2)
2009-05-21 11:24 am
✔ 最佳答案
4^(3/2) = ?the power 3/2 can be split into two simpler powers 1/2 x 3 which is square root followed by cube
(4^1/2)^3 = 2^3 = 8
OR
the power 3/2 can be split into two simpler powers 3 x 1/2 which is cube followed by square root
(4^3)^1/2 = 64^1/2 = 8
both orders of evaluating powers gives the same answer. However calculating the root first keeps the numbers small
I hope this helps
2009-05-21 11:17 am
first you convert it to a sqrt by using the denominator as the root no. so sqrt 4^3 is left then simplify. sqrt 64 then simplify = 8
2009-05-21 11:13 am
4^(3/2) = (sqrroot(4))^3 = 2^3 = 8
2016-03-18 7:27 pm
The description is unclear to me. Do you mean the following? [(y)^(-6)]^(-7) = y^(42) or (y - 6)^(-7) = 1 / (y - 6)^7
2009-05-21 12:07 pm
Its 8.
2009-05-21 11:52 am
8
2009-05-21 11:46 am
(a^M)^N=a^MN
(4^3/2=4^1/2)^3=2^3=8
(4^3/2=4^1/2)^3=2^3=8
2009-05-21 11:14 am
4^(3/2)
= (4^3)^(1/2)
= 64^(1/2)
= √64
= 8
= (4^3)^(1/2)
= 64^(1/2)
= √64
= 8
2009-05-21 11:11 am
same thing as sqrt(4^3)
so sqrt(64) = 8
so sqrt(64) = 8
收錄日期: 2021-05-01 12:23:42
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