Exponents Formulas
The formulas that are widely used for solving the exponents are added in the table below,
Exponents Formulas |
|
---|---|
n times product exponent formula | x.x.x.x … n times = xn |
Multiplication Rule | xm . xn = x(m + n) |
Division Rule | xm/xn = x(m – n) |
Power of product rule | (xy)n = xn. yn |
Power of fraction rule | (x/y)n = xn/yn |
Power of power rule | [(x)m]n = xmn |
Zero Exponent | (x)0 = 1, if x ≠ 0 |
One Exponent | (x)1 = x |
Negative Exponent | x-n = 1/xn |
Fractional Exponent | xm/n = n√(x)m |
Note: If an equation base is the same we can equate the exponents.
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