Ads
related to: integer exponents examples with answersThis site is a teacher's paradise! - The Bender Bunch
- 20,000+ Worksheets
Browse by grade or topic to find
the perfect printable worksheet.
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- Interactive Stories
Enchant young learners with
animated, educational stories.
- Activities & Crafts
Stay creative & active with indoor
& outdoor activities for kids.
- 20,000+ Worksheets
Search results
Results from the WOW.Com Content Network
When an exponent is a positive integer, that exponent indicates how many copies of the base are multiplied together. For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243. The base 3 appears 5 times in the multiplication, because the exponent is 5.
Fermat's Last Theorem states that no three positive integers (a, b, c) can satisfy the equation a n + b n = c n for any integer value of n greater than 2. (For n equal to 1, the equation is a linear equation and has a solution for every possible a and b.
When we allow the exponent n to be the reciprocal of an integer, i.e. n = 1/m for some integer m, we have the inverse Fermat equation a 1/m + b 1/m = c 1/m. All solutions of this equation were computed by Hendrik Lenstra in 1992. [169] In the case in which the mth roots are required to be real and positive, all solutions are given by [170]
Bernoulli's inequality can be proved for case 2, in which is a non-negative integer and , using mathematical induction in the following form: we prove the inequality for r ∈ { 0 , 1 } {\displaystyle r\in \{0,1\}} ,
The method is based on the observation that, for any integer >, one has: = {() /, /,. If the exponent n is zero then the answer is 1. If the exponent is negative then we can reuse the previous formula by rewriting the value using a positive exponent.
For example, if a = 2 and p = 7, then 2 7 = 128, and 128 − 2 = 126 = 7 × 18 is an integer multiple of 7. If a is not divisible by p, that is, if a is coprime to p, then Fermat's little theorem is equivalent to the statement that a p − 1 − 1 is an integer multiple of p, or in symbols: [1] [2] ().
Two to the exponent of n, written as 2 n, is the number of ways the bits in a binary word of length n can be arranged. A word, interpreted as an unsigned integer, can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively. Corresponding signed integer values can be positive, negative and zero; see signed number ...
An integer may be regarded as a real number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 + 1 / 2 , 5/4, and √ 2 are not. [8] The integers form the smallest group and the smallest ring containing the natural numbers.
Ads
related to: integer exponents examples with answersThis site is a teacher's paradise! - The Bender Bunch