Zero exponent
Exponents in mathematics are an efficient way to express repeated multiplications of the same number. Specifically powers of 10 used to express very large and very small numbers in an scientific manner. Exponential notation is much more efficient for conveying numeric or quantitative information. Now let us see about the zero and negative exponents.
Rules for Zero Exponents
The following rules involved in exponents:
Example Problems
Example 1:
The Zero Exponents
a0 = 1
60 = 1
The any power of zero is always equal to 1
Example 2:
Zero exponents using the quotient rule:
76
____ = 76×7-6 = 70 = 1
76
Rules for Zero Exponents
The following rules involved in exponents:
- A whole-number exponent is the simply shorthand for repeated multiplication of a number times itself; for example, 54 = 5 x 5 × 5 × 5
- An exponent applies to its immediate base. For example, in the expression 7 + 34, the exponent 4 applies only to the 3, so the expression is equal to 7 + (3 x 3 x 3 x 3). However, in the expression (7 + 3)4, the 4 is an exponent of the quantity 7 + 3 and is evaluated as (7 + 3) x (7 + 3) x (7 + 3) x (7 + 3), or 10 x 10 x 10 x 10.
- The exponentiation is repeated multiplication; it also is done before addition and subtraction.
- `a^m/a^n` = am-n
- am×an = am+n
Example Problems
Example 1:
The Zero Exponents
a0 = 1
60 = 1
The any power of zero is always equal to 1
Example 2:
Zero exponents using the quotient rule:
76
____ = 76×7-6 = 70 = 1
76