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- Dictionaryexponent/ɪkˈspəʊnənt/
noun
- 1. a person who supports an idea or theory and tries to persuade people of its truth or benefits: "an early exponent of the teachings of Thomas Aquinas" Similar Opposite
- 2. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
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exponent: [noun] a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.
- Exponent and Powers
- Exponent Formula and Rules
- Exponent Table
- Solved Examples
- Practice Problems
As defined above, the exponent defines the number of times a number is multiplied by itself. The power is an expression that shows repeated multiplication of the same number or factor. For example, in the expression 64, 4 is the exponent and 64is called the 6 power of 4. That means, 6 is multiplied by itself 4 times. Learn more about exponents and ...
Exponents have certain rules which we apply in solving many problems in maths. Some of the exponent rulesare given below. Zero rule:Any number with an exponent zero is equal to 1. Example: 80 = 1, a0= 1 One Rule:Any number or variable that has the exponent of 1 is equal to the number or variable itself. Example: a1 = a, 71= 1 Negative Exponent Rule...
The below table shows the values of different expressions in terms of exponents along with their expansions and values. This will help you in understanding the simplification of numbers with exponents in detail.
Example 1: Simplify (32 × 3-5)/ 9-2 Solution: (32 × 3-5)/ 9-2 = 3(2 – 5) × 92 = 3-3 × (32)2 = 3-2× 34 = 3(-2 + 4) = 32 = 9 Therefore, Simplify (32 × 3-5)/ 9-2= 9 Example 2:Simplify and write the answer in exponential form. (i) (25÷ 28)5× 2-5 (ii) (– 4)-3× (5)-3× (–5)-3 (iii) (1/8) × (3)-3 Solution: (i) (25 ÷ 28 )5 × 2-5 = (25-8)5× 2-5 = (2-3)5 × 2-...
Find m such that (-4)m + 1 × (-4)5 = (-4)7.Find the value of (50 + 4-1) × 22.Expand the following numbers using exponents. (i) 1025.63 (ii) 1256.249e. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; this is pronounced as " b (raised) to the (power of) n ". [1]
Exponents. The exponent of a number says how many times to use the number in a multiplication. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". Exponents make it easier to write and use many multiplications. Example: 96 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9.
The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number. (The exponent "2" says to use the 8 two times in a multiplication.) (The exponent "3" says to use the 5 three times in a multiplication.) Other names for exponent are index or power.
The negative exponent rule states that when an exponent is negative, we can convert it into positive by reciprocating it. It is represented as: a –m = $\frac{1}{a^{m}}$, where a is a non-zero number and m is a real number. Law of zero exponent ; As per this law, if the exponent of a real number is 0, then its value is equal to 1, as. a 0 = 1.
EXPONENT definition: 1. a person who supports an idea or belief or performs an activity: 2. a number or sign that shows…. Learn more.
