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What is reciprocal to x raised to the fourth power to?
The reciprocal of ( x ) raised to the fourth power, or ( x^4 ), is given by ( \frac{1}{x^4} ). This expression represents the multiplicative inverse of ( x^4 ), meaning that when you multiply ( x^4 ) by ( \frac{1}{x^4} ), the result is 1, provided that ( x ) is not equal to zero.
What expression is equal to x to the 3rd power times x to the -7th power?
10
What is 3 to the power of 4?
7
I raised to the 25 power?
Is that one? One raised to any positive power is one.
Why does everything to the zeroth power equal one?
In order to understand why everything to the zeroth power equal one, let's do some examples. 8^0 = 8^(1-1) = (8^1)(8^-1) = (8)(1/8) = 8/8 = 1 2^0 = 2^(2-2) = (2^2)(2^-2) = (4)(1/2^2) = (4)(1/4) = 4/4 = 1 (x + 1)^0 = (x + 1)^(1-1) = [(x + 1)^1][(x + 1)^-1] = (x+ 1)[1/(x + 1)] = (x + 1)/(x + 1) = 1
How much is 2 to the power -2?
2 to the power of -2 is equal to 1/4.x to the power of -y is equal to 1/xy.
Does 2 to the negative power of 2 equal negative 4?
No Actually... x^(-y) is equal to 1/x^y. 2^(-2) is equal to 1/2^2 which is equal to 1/4 or 0.25.
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.
What is reciprocal to x raised to the fourth power to?
The reciprocal of ( x ) raised to the fourth power, or ( x^4 ), is given by ( \frac{1}{x^4} ). This expression represents the multiplicative inverse of ( x^4 ), meaning that when you multiply ( x^4 ) by ( \frac{1}{x^4} ), the result is 1, provided that ( x ) is not equal to zero.
Why everything to power of zero is equal to one?
x to the power a divided by x to the power b is x to the power (a - b) When a and b are equal then this is x to the power a divided by x to the power a, ie 1. x to the power (a - a) = x to the power zero. Things which are equal to the same thing are equal to each other, so 1 = x to the power zero.
What expression is equal to x to the 3rd power times x to the -7th power?
10
What is one to the 8 power?
One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.One to any power is equal to 1. As a formula: For all x, 1x = 1.
What is 3 to the power of 4?
7
What does x to the power of negative 1 equal?
x-1 = 1/x
I raised to the 25 power?
Is that one? One raised to any positive power is one.
Why does everything to the zeroth power equal one?
In order to understand why everything to the zeroth power equal one, let's do some examples. 8^0 = 8^(1-1) = (8^1)(8^-1) = (8)(1/8) = 8/8 = 1 2^0 = 2^(2-2) = (2^2)(2^-2) = (4)(1/2^2) = (4)(1/4) = 4/4 = 1 (x + 1)^0 = (x + 1)^(1-1) = [(x + 1)^1][(x + 1)^-1] = (x+ 1)[1/(x + 1)] = (x + 1)/(x + 1) = 1
How should you simplify x0?
If that is x to the power 0, then it = 1, irrespective of the value of x. Consider for example x =4. x squared is 16. To get from x to the power 2 to x to the power 1, you divide by x, giving 4 to the power 1 = 4. Similarly, to get from x to the power 1 to x to the power 0, you divide by x, giving 4 to the power zero = 1.
