On a calculator enter 3 raised to the 1/3, should look like 3^(1/3), and you get 1.4424957. I don't really know why it comes out as this. (Whatever you do, don't turn 1/3 into a decimal as it will not work.)
Actually it shouldn't matter whether it's a decimal or fraction. (In fact the calculator probably converted 1/3 to decimal form as the first step in the calculation.)
If x is any positive number, and n is a positive integer, then x^(1/n) is the (n)th root of x. So, in this case, the is the 3rd root (i.e. cube root) of 3.
This "x^(1/n)= (n)th root of x" rule may look strange at first. But there are good reasons for it. If m and n are any integers, then x^(mn)=(x^m)^n. So it seems sensible to define ^ for non-integer indices, in such a way that this rule still holds (if possible). If we put m=1/n, we get
x^1=(x^(1/n))^n
But x^1=x, and so this rule tells us that x^(1/n) is an (n)th root of x.
One third of 3 to the sixth power can be calculated by first finding 3 to the sixth power, which is 3^6 = 729. Then, divide 729 by 3 to find one third of it. Therefore, one third of 3 to the sixth power is 729 divided by 3, which equals 243.
3^-1 = 1 over (3 to the power of 1) = 1/3, one third. a minus power is the same as a normal power but with a 1 above it.
3 to the third power (3^3) is equal to 27. 4 to the third power (4^3) is equal to 64. Combining the 2 answers (27*64) we have 1968.
GCF of 18c tothe third power and 24c to the third power is 6 c tothe third power.
Let the number be n.Then (n3)3 = n3 x 3 = n9.........or n to the power nine.However, if the question is what the the one-third power of a number cubed, then:(n3)1/3 = n3 x 1/3 = n1 = n
I assume by one yard you mean one linear yard which is 3 feet 3 to the one third power (1.44) is a lot smaller than 27 to the third power(3.00) By the way, a cubic yard is 3 x 3 x 3 = 27 cubic feet
1/3 to the power of 4 is 0.012346
31/2*91/3 = 3.602810866
1/4 to the third power = (1/4)3 = 1/64
3 to the third power is 3 X 3 X 3 =27
3^-1 = 1 over (3 to the power of 1) = 1/3, one third. a minus power is the same as a normal power but with a 1 above it.
3 to the third power (3^3) is equal to 27. 4 to the third power (4^3) is equal to 64. Combining the 2 answers (27*64) we have 1968.
91
It is: 2/3 times 1/2 = 1/3
You find the length of one side and take it to the third power. Vcube = (length of side)3
GCF of 18c tothe third power and 24c to the third power is 6 c tothe third power.
Let the number be n.Then (n3)3 = n3 x 3 = n9.........or n to the power nine.However, if the question is what the the one-third power of a number cubed, then:(n3)1/3 = n3 x 1/3 = n1 = n