How to work out 16^(3/4)...?

2016-09-29 5:14 pm
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回答 (13)

2016-09-29 5:54 pm
Remember the rules for indices
(x^m)^n = x^mn
So we split up 3/4 into 3 x 1/4
Hence
(16^(1/4))^3


The fourth root (1/4) of 16 is '2'
Hence
2^3 = 8
So 16^(3/4) = 8
2017-03-18 8:57 am
well,

16^(3/4) = (2^4)^(3 * 1/4) = 2^(3 * 4 * 1/4) = 2^3 = 8

hope it' ll help !!
2016-12-23 8:09 pm
16^(3/4)

first, let's turn that 16 into a power of 2:

(2^4)^(3/4)

now recall that if you have an exponent of an exponent, it's the same as the product of the exponents, so we have 4 times 3/4, which is 3... so now we have:

2^3

and that simplifies to:

8
2016-11-27 12:16 pm
2^3 = 8
2016-10-02 3:57 pm
16^(3/4) = ( (16)^(1/4) )^3
16^(1/4) = 2 'cause 2^4 = 16
= (2)^3
= 8
2016-09-30 8:12 am
16^(3/4)
=(2*2*2*2)^(3/4)
=(2^4)^(3/4)
=2^(4*3/4)
=2^(12/4)
=2^3
=2*2*2
=8
2016-09-29 5:32 pm
16 = 2 ^4 , so (16 )^3/4 = ( 2 ^4 )^3/4 = 2 ^ 4*3 / 4 = 2 ^ 3 = 8
2016-09-29 5:29 pm
16^¾ = (2⁴)^¾
= 2^(4·¾)
= 2^3
= 8
2016-09-29 5:20 pm
2^3 = 8
2016-09-29 5:19 pm
Well,

16^(3/4) = (2^4)^(3 * 1/4) = 2^(3 * 4 * 1/4) = 2^3 = 8

hope it' ll help !!
2016-09-29 5:18 pm
16^(3/4) = ( (16)^(1/4) )^3
16^(1/4) = 2 because 2^4 = 16
= (2)^3
= 8
2016-09-29 5:15 pm
16^(3/4)

[2^4]^(3/4)

2^(12/4)

2^3

8
2016-09-29 5:15 pm
16^(3/4)

First, let's turn that 16 into a power of 2:

(2^4)^(3/4)

Now recall that if you have an exponent of an exponent, it's the same as the product of the exponents, so we have 4 times 3/4, which is 3. So now we have:

2^3

And that simplifies to:

8


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