52 to the Negative 91st Power


Welcome to 52 to the negative 91st power, our post about the mathematical operation exponentiation of 52 to the power of -91. If you have been looking for 52 to the negative ninety-first power, or if you have been wondering about 52 exponent minus 91, then you also have come to the right place. The number 52 is called the base, and the number minus 91 is called the exponent. In this post we are going to answer the question what is 52 to the negative 91st power. Keep reading to learn everything about fifty-two to the negative ninety-first power.

What is 52 to the Negative 91st Power

52 to the negative 91st power is conventionally written as 52-91, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 52^-91.

52-91 stands for the mathematical operation exponentiation of fifty-two by the power of negative ninety-one. As the exponent is a negative integer, exponentiation means the reciprocal of a repeated multiplication:

52 to the negative 91st power = $\frac{1}{\underbrace{ {\rm 52\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 52} }_{\rm 91\hspace{3px} times}}$

The absolute value of the exponent of the number -91, 91, denotes how many times to multiply the base (52), and the power’s minus sign stands for reciprocal.

Thus, we can answer what is 52 to the negative 91st power as

52 to the power of minus 91 = 52-91 = 1 / 1433191 6550597872 8981544401 5377348158 4981840688 6585583634 2202210066 3998222061 6737248604 5914760128 7950056707 7797710592 0446701933 0263318957 8301890865 2455067648.

If you have come here in search of an exponentiation different to 52 to the negative ninety-first power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 52 to the power of negative 91 as an example, insert 52 for the base and enter -91 as the index, aka exponent or power. Next, hit the convert button, then check the result.



52 to the negative 91st power is an exponentiation which belongs to the category powers of 52. Similar exponentiations on our site in this category include, but are not limited, to:

Ahead is more info related to 52 to the negative 91 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 52 to the power negative 91.

52 to the Power of -91

Reading all of the above, you already know most about 52 to the power of minus 91, except for its inverse which is discussed a bit further below in this section.

Using the aforementioned search form you can look up many numbers, including, for instance, 52 to the power minus 91, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 52 to the negative 91st power, (52-91)−1, is. The inverse is 1 over the 91st root of 5291, and the math goes as follows:

(52-91)−1
= $\frac{1}{\sqrt[91]{52^{91}}}$
= $\frac{1}{52^{91/91}}$
= $\frac{1}{52^{1}}$
= $\frac{1}{52}$

Because the index of 91 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (5291)−1$\hspace{3px} = \frac{1}{52}$.

Make sure to understand that exponentiation is not commutative, which means that 52-91 ≠ -9152, and also note that (52-91)-1 ≠ 5291, the inverse and reciprocal of 52-91, respectively.

You already know what 52 to the power of minus 91 equals, but you may also be interested in learning what 52 to the 91st power stands for. Next is the summary of negative 91 power of 52.

Fifty-two to the Negative Ninety-first Power

You have reached the final part of fifty-two to the negative ninety-first power. Fifty-two to the negative ninety-first power is the same as 52 to the power minus 91 or 52 to the minus 91 power.

Exponentiations like 52-91 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.

If you have been looking for 52 power -91, what is 52 to the negative 91 power, 52 exponent minus 91 or 91 negative power of 52, then it’s safe to assume that you have found your answer as well.

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