Answer: A positive number to the power negative 1 is a number that is always less than one. Let's understand the solution. Instead, if the number is 0, then the result will be undefined, i.e, 0-1 = 1/0 which is undefined.
Negative one is a special value for an exponent, because taking a number to the power of negative one gives its reciprocal: x−1=1x.
If you raise any number to the power of 1, the result will be that number! This is one of the most simple exponent rules.
Negative exponents denote a reciprocal value. 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.
Answer: 5 to the power of negative 2 is 0.04.
Hence, any negative number to the power of 2 is positive.
The two important terms used frequently in exponents are base and powers. To find 2 to the power of 1, we can write it in exponent form as 21 where 2 is base and 1 is power. Power should always be written on top of the base. It means 2 is multiplied 1 time.
Solution: 1 to the Power of 2 is equal to 1
The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. Therefore, 1 to the power of 2 is 1.
Zero to any positive exponent equals zero.
In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0.
Answer: As already explained, the answer to (-1)0 is 1 since we are raising the number -1 (negative 1) to the power zero.
10 to -1 power is equal to 1/10 when you have a negative exponent you always make it a fraction. For example 5 to the -1 power is equal to 1/5.
So, negative exponents can be expressed as the positive reciprocal of the base multiplied by itself x times. The larger the negative exponent, the smaller the number it represents. While positive exponents indicate repeated multiplication, negative exponents represent repeated division.
Negative exponents can be rewritten in two ways. Firstly, start with 1 and divide it by 2 the same number of times as the exponent. Secondly, take the reciprocal of the base and raise it to the positive exponent.
Answer: A positive number to the power negative 1 is a number that is always less than one. Let's understand the solution. Instead, if the number is 0, then the result will be undefined, i.e, 0-1 = 1/0 which is undefined.
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one ibecause any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
Scaling by 1 does not change the number, so 1∞=1.
Solution: 1 to the Power of 3 is equal to 1
The first step is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value. Therefore, 1 to the power of 3 is 1.
0^0 = 1 * 0^0 = 1 * 1 = 1 — it doesn't change our original number.
Given that, 8 to the power of 0. We know that the zero property of exponents states that any number except 0 raised to the power of zero is always equal to 1. So, 8 to the power of 0 can be written as 80 which is equal to 1.
Summary: 3 to the power of negative 2 is 1/9.
The answer is 1. The calculator said -1 because of the way calculators handle inputs. When a calculator sees it breaks it down in an odd way. Instead of how a person would interpret it, as squaring negative one, a calculator interprets it as taking 1 squared and returning its negative.