What does a negative 1/2 power mean?

What does a negative 1/2 power 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 1 2 to the power of 4 as a fraction?

1/16
Answer: 1/2 to the power of 4 is (1/2)4 = 1/16. Let’s understand the solution.

What does to the power of 1/2 mean?

In other words, taking a number to the power of 12 is the same thing as taking a square root: x1/2=√x. Since (xn)1/n=x1=x, we can generalize the result so that taking a number to the power of 1/n is the same thing as taking the nth root: x1/n=n√x.

What is 5 to the negative power of 2?

0.04
Answer: 5 to the power of negative 2 is 0.04.

How do you calculate negative exponents?

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.

Is 1/4th a quarter?

One fourth is equivalent to the fraction: 1/4. Therefore, it is a quarter of an amount.

What is the half power of 4?

So it is 2. 4^-2, which is 1/16. That’s all. 4 power 1/2 is simply square root of 4, which equals 2.

What is the value of 4 to the power 1 by 2?

2
Answer: 4 to the power of 1/2 is 2.

How do you solve for a negative exponent?

How to solve negative exponents. Flip the base and exponent into the reciprocal, then solve the denominator. Divide the numerator by the denominator to find the final decimal.

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 is 3 to the negative 4th power?

Three to the negative fourth power is the same as 3 to the power minus 4 or 3 to the minus 4 power. Exponentiations like 3-4 make it easier to write multiplications and to conduct math operations as numbers get either big or small, such as in case of decimal fractions with lots of trailing zeroes.

What is 4 to the 2nd power?

Two to the second power is equal to four. This is an example of powers and exponents used in algebra. The expression written in numerical terms is 2^2, which represents two raised to the second power. In the expression, the first two is the base, and the second two is the exponent or power.

What are the powers of 4?

Four Powers may refer to: Allied Control Council, also referred to as the Four Powers, usually refers to the four countries that occupied the defeated Germany and Austria after the end of the Second World War in 1945 – France, the United Kingdom, the United States and the Soviet Union.