How to find the exact value of 4² 3²
Answers
Answer:
So to solve (4)^3/2 ,you have to realise that you need to remove the denominator in the exponent value which in this case is 2
In order to remove the 2,you would need a 2 in the numerator of the exponent .While understanding all this the value 4 can be equated as 2^2.
Thus your means of getting a 2 in the numerator is solved by simply replacing the 4 with 2^2
Thus what you will get is (2^2)^3/2
Now we have a property in exponent where
(x^m)^n = (x)^mn
Thus (2^2)^3/2 = (2)^3 = 8
Step-by-step explanation:
have a nice day
Answer:
So to solve (4)^3/2 ,you have to realise that you need to remove the denominator in the exponent value which in this case is 2
In order to remove the 2,you would need a 2 in the numerator of the exponent .While understanding all this the value 4 can be equated as 2^2.
Thus your means of getting a 2 in the numerator is solved by simply replacing the 4 with 2^2
Thus what you will get is (2^2)^3/2
Now we have a property in exponent where
(x^m)^n = (x)^mn
Thus (2^2)^3/2 = (2)^3 = 8
Hope this helps you in understanding how to solve exponent based questions !
How do I calculate 2^(3/2)?
How do I solve 93/2 ?
How do I calculate 2^1/3?
How can we calculate (−2)1/3 ?
Can you solve 2^3/2?
Here the term represents the cube of 4 and then the square root of the answer (i.e. cube of 4).
Basically such problems are solved in such a way, that solving powers becomes easy.
The above term can be written as
((4)^3) ^(1/2) or ((4)^(1/2))^3
(The above term is represented in two ways based on the rule of solving powers.)
The second form is more simpler than the first one.
The square-root of 4 is 2 and the cube of 2 is 8
Thus answer is 8.
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There is always a simplest form of these terms hidden.., when u see a fractional power (3/2 in this case) , be pretty sure that the base (4 in this case) can be expressed as a number’s higher power, and that power term is always a multiple of the denominator of the visible fractional power (3/2), which get reduced to a whole number power., And hence makes it easier for u to solve.
Explanation:-
4 can be expressed as 2^2, the power 2 here is a multiple of the denominator of the visible fractional power (3/2) ,,which get cancelled out., and you are left with 2^3.
I hope u get the trick
well, thats not the tough job !
Make your number and operator in different grouping !
Eg:- make 4^3/2
like 4^(3)*(1/2) or 4^(1/2)*(3)
now solving 4^3 which is equals 64.now this (64)^(1/2) will be equals 8.
see isn’t is easy ?
or
solving 4^(1/2) which is equals 2 now this 2^3 which will be equal to 8.
i hope it will be be clear to you !