Exponents
1. What are Exponents in Math?
The exponents in mathematics are a way of representing very large and very small numbers they are used in mathematics for simplifying and easing the calculation.
2. What are the Examples of Exponents?
Some example of the exponents are,
- 3.456×10-12
- 1.4526×1022
- 9.87×10-21, etc.
3. How to Multiply Exponents?
To multiply exponents we use the following formula,
- an × am = am+n
- an × bn = (ab)n
This can be further understood using the example,
Example: Simplify 33 × 38
Solution:
= 33 × 38
= 33+8 = 311
4. What is a Zero Exponent?
A zero exponent is an exponent with power 0 and the value of the zero exponent is always zero, i.e.
a0 = 1 (a ≠ 0)
5. What is a Negative Exponent?
A negative exponent is an exponent with negative values and its value is calculated by taking its reciprocal and them making its exponent positive, then simplifying it normally, i.e.
a-n = (1/a)n
6. What is 2 with an Exponent of 4?
The value of 2 with an exponent 4 is,
= 24
= 2×2×2×2
= 16
Exponents
Exponents are the basic concept used in mathematics that are helpful in solving and understanding very large numbers. Suppose we have to simplify a very large number such as 10 multiplied by itself 10 times then the number is represented as, 1010 which is a very easy way of representing the numbers. Exponent is also called the power of a number. The exponent of the number can be integers or fractions, The fraction exponent is also called the radical.
Table of Content
- What are Exponents?
- Exponents Formulas
- Laws of Exponents
- Exponents with Fractions
- Exponent Table