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rearrange the following: A^(1/n)= the nth root of A. eg A to the power 1/2 equals the square root of A. A to the power 1/3 equals the cube root of A. etc.

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โˆ™ 2009-07-26 21:35:59
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Q: A to the 1 divided by n power?
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Why does any number to the zero power equals one?

If you think what raising to a power means:- n to power 2 is n multiplied by itself once, n to power 3 is n multiplied by itself twice . In general n to the power x = n multiplied by itself (x-1) times so n to the power 1 will be n multiplied by itself 0 times = n (not the same as multiplying by zero - just not multiplying n by anything). The big leap then is too see that n to the power zero is n multiplied by itself minus 1 times which is n divided by n =1. To see this more clearly picture the series created by any whole number raised to a power increasing by one incrementally from left to right. ...................n, nxn, nxnxn, nxnxnxn, nxnxnxnxn, .................... each new term is the old term multiplied by n. So if you go in the opposite direction each new term is the old term divided by n so:- n to power 2 divided by n =n to power 1 which is n so n to power 0 is n divided by n which is one, continuing on n to the power -1 is 1 divided by n (one nth) and n to the power -2 is 1 divided by n squared.


Why is a number raise to zero is equal to one?

x to the n divided by x to the n is 1. By the law of powers x to the power n divided by x to the power n is x to the power (n minus n), ie x to the power zero. Things which are equal to the same thing are equal to each other. Therefore x to the power zero = 1. (Unless x = zero!)


What equals 39 remainder 1 when divided?

It is 39*n+1 when divided by n, for any integer n.


How any number o the power of zero is one?

The law of powers requires that xn divided by xm = x(n - m). Consider this when n = m: xn divided by xn = x(n - n), ie 1 = x0. x2 = x times x x1 = x times x divided by x ie x x0 = x divided by x = 1 x-1 = 1 divided by x = 1/x x-2 = 1/x divided by x ie 1/x2 etc


What is 2n to the second power divided by n?

2n2 / n = 2n


What is 2 to zero power?

1. All numbers to the zero power are 1. Take any number a^n we know that a^n/a^n=1 since anything divided by itself is 1. We also know the rule for division tells us a^n/a^n= a^(n-n)=a^0. so it is 1. 0^0 is usually defined as 1, but in some context people say it is indeterminate.


Why is 6 to the power 0 equal to 1?

Anything to the power 0 is 1. Using the laws of powers to get to x to the power n-1 from x to the power n you divide by n; eg to get 4 squared (16) from 4 cubed (64) you divide 64 by 4. If you start with x to the power 1 and want x to the power zero, you divide by x. And x divided by x is 1.


Why is anything to the power of one one?

It isn't. You're thinking of anything to the power zero. x0 = x(n - n) which equals xn divided by xn which equals 1.


What is n raised to the power n-1?

n-1 = 1/n


What are two phrases you can write for 150 divided by n?

1) One hundred and fifty divided by n; 2) n divided into one hundred and fifty.


What is the integral of x to the power n?

For n not equal to -1, it is 1/(n+1)*xn+1 while for n = -1, it is ln(|x|), the logarithm to base e.


How do you find out 2 to the negative 1 power?

If it is to a (-) power then that is the same as saying it is 1 divided by 2 to the power of 1. 2 to the power of 1 is 2, and so 1 divided by 2 is 1/2 or 0.5.


What is x to the power of the number that it is divided by?

This is represented as the algebraic expression xn/n or xn ÷ n.


What is the answer to 4 divided by 8 over n?

0.5


How to simplify n plus 1 factorial divided by n factorial?

Since n! is the product of all the numbers from 1 through n and (n+1)! is everything in n! multiplied by n+1, the quotient is n+1 ■


Why is a negative divided by a negative a positive?

if we have two negative numbers, -n and -m and we divide them: (-n)/(-m) then we can rewrite the quotient as : (-1)*n/(-1)*m and... (-1)/(-1) * n/m we know that any number divided by itself is 1 by some rule: so = (-n)/(-m) = n/m which is positive


How do you expand a negative power For example 2 to the 2nd power is 2x2 how do you expand 2 to the power of -1?

for expanding negative powers of a number you take 1 divided by the number to the positive power and expand. For example 2 to the -1 power is 1 divided by 2 to the + 1 power = 1/2 2 to the -3 power is 1 divided by 2 tot he + 3 power = 1/8 this is called inverse


How do you write an algebraic expression with n divided by 8?

You can write that in several different ways: n/8 n -- 8 1 -- n 8


What is one third divided by one third?

You can think of this problem in two ways. First, as the more general question "What is N divided by N?" This makes the answer, 1, obvious. Second, you can work through it algebraically: (1/3)/(1/3) = N 1/3 = N/3 N = 1


What is 7 to the tenth power divided by 7 to the ninth power?

7 to the tenth power divided by 7 to the ninth power = 1


Any number to the zero power is equivalent to?

1proof:n**3 * n**-3 = n**0n**3 = n*n*nn**-3 = 1/n * 1/n * 1/n1/n * 1/n * 1/n * n * n * n= n*n*n/(n*n*n) = 1Any number to the zero power = 1 .Any number to the ' 1 ' power = itself .Also:ex. 3^0 = 1but this is also the same value as :5^0 = 1Hence 3^0 = 5^0 = n^0 = 1If you had 3^2 / 3^2 the result is 1 since any value divided by itself it 1.Hence the base (here it's 3) and the exponent (here it's 2) is essentially eliminated and the result is just 1 as it would be for any other base and exponent. Mathematically, in an expression form you can eliminate (set to 0) the exponent by subtracting the exponents:3^2 / 3^2 = 1 = 3^(2-2) = 3^0 = 1 = n^0X^0=1How about this:If you had 5^2 / 5^2 , it equal 1 since any number divided by that same value is one. Therefore there is no power of 5 left since 5^1 would be 5. It is as if you subracted the exponents: 5^(2-2) = 5^0. This is valid because if you had something like:5^2 / 5^1 = 5^(2-1) = 5^125 / 5 = 5 = 5^1


What is the answer to 4 divided by 8 over n to the power of 3?

(4/8)/(n^3)...4/8 reduces to 1/2 so the problem reduces to (1/2)/(n^3)...Which written in simple terms is 1/n^3. Actually I made a typo the answer is 1/(2n^3) Sorry about that.


What property states that a number divided by itself is equal to 1?

Properties of Division: n/n =1, If n ≠ 0. Any number other than zero divided by itself is one.


Adding n to the second power to n?

n2 + n = n(n + 1)


What is n divided by 8?

That would be 1/8n.