How do you solve 16^-3/4 without a calculator?
回答 (11)
2008-07-31 4:11 pm
✔ 最佳答案
16^-3/4=(16^1/4)^-3
=2^-3
=1/(2^3)
=1/8
.,.,
2016-10-16 3:03 pm
sixteen^3/4 is the fourthroot of sixteen cubed. what selection, prolonged by way of itself 4 circumstances, equals sixteen? 2 works, via fact 2*2*2*2=sixteen. Now cube that root; 2^3=8, so there is your answer.
2008-07-31 4:49 pm
first you take the 4th root of 16 which is 2 and then raise it to the -3 power which is 1/8
2008-07-31 4:22 pm
16= 2x2x2x2 = 2^4
16^(-3/4) = (2^4)^(-3/4) = 2^[4x(-3/4)] = 2^(-3) = 1 / 2^(-3) = 1/8
16^(-3/4) = (2^4)^(-3/4) = 2^[4x(-3/4)] = 2^(-3) = 1 / 2^(-3) = 1/8
2008-07-31 4:20 pm
16 is 2^4 so
(2^4)^-3/4
=2^(-3) ......the 2 4's cancel out each other
=1/2^3
=1/8 .
(2^4)^-3/4
=2^(-3) ......the 2 4's cancel out each other
=1/2^3
=1/8 .
2008-07-31 4:13 pm
its so simple....
first remove negative power by reciprocal of 16....
so it becomes 1/16 ^3/4
nw u can see 1^3/4 is 1 only hence numerator is unaffected....
in denomenator 16 can be written as 2^4
hence it becomes 1/2 ^ 3/4*4 which is equal to 1/2 ^ 3
hence answer is 1/8......
if u lyk my answer then jst dnt thank me plz visit my blog
www.pallavkaushish.blogspot.com....
u may lyk it as it is an entertainment blog.....
first remove negative power by reciprocal of 16....
so it becomes 1/16 ^3/4
nw u can see 1^3/4 is 1 only hence numerator is unaffected....
in denomenator 16 can be written as 2^4
hence it becomes 1/2 ^ 3/4*4 which is equal to 1/2 ^ 3
hence answer is 1/8......
if u lyk my answer then jst dnt thank me plz visit my blog
www.pallavkaushish.blogspot.com....
u may lyk it as it is an entertainment blog.....
2008-07-31 4:13 pm
16^-3/4= 1/ (16)^(3/4)
=1 / [(16)^1/4] ^3
1/16^(1/4) is the fourth root of 16 , which is 2, because 2 x 2 x 2 x 2 =16.
2^3 = 8
So, 16^-3/4 =1/ 8
=1 / [(16)^1/4] ^3
1/16^(1/4) is the fourth root of 16 , which is 2, because 2 x 2 x 2 x 2 =16.
2^3 = 8
So, 16^-3/4 =1/ 8
2008-07-31 4:11 pm
16^(-3/4)
= ±⁴√(1/16^3)
= ±⁴√(1/4096)
= ±⁴√(1/8 * 1/8 * 1/8 * 1/8)
= ±1/8
= ±⁴√(1/16^3)
= ±⁴√(1/4096)
= ±⁴√(1/8 * 1/8 * 1/8 * 1/8)
= ±1/8
2008-07-31 4:10 pm
if you know that 16^(1/4) = 2, then it is easy. If you don't know that you should memorize the first 10 powers of 2.
2^-3 = 1/8, which is your answer
2^-3 = 1/8, which is your answer
2008-07-31 4:10 pm
1 / (16^(3/4)
1 / 2³
1 / 8
1 / 2³
1 / 8
收錄日期: 2021-05-01 10:55:28
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080731080641AAOOqkg