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Q: Is x to the -1 power the same as 1 divided by x?

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That's the same as 1 divided by (x to the power 3).

That's the same as x to the power minus two.

0.5

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.

1

1/x *2

0.7143

Approximately 2.439 x 10^-19. It is the same as taking 1 divided by (456^7) which is 1 divided by (4.0997 x 10^18)

(x3 - 1)/(x - 1) = x2 + x + 1

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!)

-(x-1)-1 or -1/(x-1)

1

1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.

x^(ln(2)/ln(x)-1)

3

It is x because any number divided by 1 remains the same

18

no it is a polynomial. exponential is a number to the x power (3^x)

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

X to the 9th power

Infinity.

That's the same as 1 x 1 x 1 x 1 ..., so the answer is 1.

0.5

0.5556

1.001