What is 1 raised to a negative power?

A number raised to a negative power is equal to one over the number raised to the positive opposite power. Example: x^-2 = 1/x^2.

What does 2 to the power of negative 1 mean?

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, “x–2” (pronounced as “ecks to the minus two”) just means “x2, but underneath, as in 1 x 2 \frac{1}{x^2} x21 “.

What is to the negative 2 power?

When we calculate an exponent of a negative number, then the result depends on the power of the number. If the power is even, then the result will be positive. Hence, any negative number to the power of 2 is positive. For example, (-3)2 = (-3) × (-3) = 9, which is positive.

What happens when you raise a negative number to the second power?

Negatives raise normally, but every other power will also be negative. When you raise negative numbers to a power, their absolute value will increase normally, but the resulting number will be negative whenever the exponent is odd.

What is 1 raised to a power?

According to the exponent rule, any number raised to the power of one equals the number itself. Let’s take an example, 100 to the power of 1 can be written as 100 and x to the power of 1 can be written as x.

Why is a negative power a fraction?

What is negative exponent? A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.

Why is a negative number to the second power a negative?

Simplify (–3) Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

What is the base 2 to the power of minus 1/2?

The base b raised to the power of minus n/m is equal to 1 divided by the base b raised to the power of n/m: b-n/m = 1 / bn/m = 1 / ( m√b) n The base 2 raised to the power of minus 1/2 is equal to 1 divided by the base 2 raised to the power of 1/2:

What is E raised to the power of negative infinity?

“Negative infinity” is not a number, so “e raised to the power of negative infinity” is nothing. The principle root of a positive number raised to any real power (positive or negative) is positive.

What is the value of 1^ -2 to a negative exponent?

A negative exponent implies the reciprocal, so 1^ (-2) = 1/ [ (1)^2]. But 1 to almost any power is 1, so (1)^2 is just 1. So we have 1/1, which is also 1. 1^ -2 is the same as 1/sqrt (1) which is still one. Turns out that 1 to any power including zero is still 1.

Is 1 to the power of 1 always 1?

The answer is yes. The reason it is always one because “to the power of” just means how many times you would multiply the number by itself. This is the reason 1 to the power of any number is 1.