1378932234529.pdf, Exercises of Elementary Mathematics

Quotient Rule: When dividing exponents with the same base, subtract the exponents. Example: 4. Negative Exponent Rule: Exponents are not always positive. When ...

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Rules of Exponents
In the expression, x
n
, x is referred to as the base, and n is called the exponent. The
expression is read "x to the nth power."
An exponent tells you how many times to multiply the base times itself.
3
3
3
3 = 81
Doing math with exponents looks scary at first, but with the help of a few rules, it’s actually
quite easy!
Here are 8 rules of exponents:
1.
Product Rule (same base
): When multiplying two exponents that have the same base,
the base stays the same, and the exponents are added.
Example:
pf3

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Rules of Exponents

In the expression, x n , x is referred to as the base , and n is called the exponent. The expression is read " x to the nth power ."

An exponent tells you how many times to multiply the base times itself.

3 ●^3 ●^3 ●^ 3 = 81

Doing math with exponents looks scary at first, but with the help of a few rules, it’s actually quite easy!

Here are 8 rules of exponents:

1. Product Rule (same base ): When multiplying two exponents that have the same base,

the base stays the same, and the exponents are added.

54  52  5 4 2 ^  56  5 5 5 5 5    15 624 ,

2. Product Rule (different base): When multiplying two exponents that have different

bases, there is nothing that can be done to simplify the expression.

Example:

3. Quotient Rule : When dividing exponents with the same base, subtract the exponents.

Example:

4. Negative Exponent Rule: Exponents are not always positive. When you see a negative

exponent, you will divide 1 by that number.

where a ≠ 0