How to work out 16^(3/4)...?
回答 (13)
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
well,
16^(3/4) = (2^4)^(3 * 1/4) = 2^(3 * 4 * 1/4) = 2^3 = 8
hope it' ll help !!
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
16^(3/4) = ( (16)^(1/4) )^3
16^(1/4) = 2 'cause 2^4 = 16
= (2)^3
= 8
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
16 = 2 ^4 , so (16 )^3/4 = ( 2 ^4 )^3/4 = 2 ^ 4*3 / 4 = 2 ^ 3 = 8
16^¾ = (2⁴)^¾
= 2^(4·¾)
= 2^3
= 8
Well,
16^(3/4) = (2^4)^(3 * 1/4) = 2^(3 * 4 * 1/4) = 2^3 = 8
hope it' ll help !!
16^(3/4) = ( (16)^(1/4) )^3
16^(1/4) = 2 because 2^4 = 16
= (2)^3
= 8
16^(3/4)
[2^4]^(3/4)
2^(12/4)
2^3
8
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
收錄日期: 2021-04-21 23:29:08
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