Table of Contents
What are the 7 properties of exponents?
- Product of powers rule. When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
- Quotient of powers rule.
- Power of a power rule.
- Power of a product rule.
- Power of a quotient rule.
- Zero power rule.
- Negative exponent rule.
What are the 6 laws of exponents?
- Rule 1 (Product of Powers)
- Rule 2 (Power to a Power)
- Rule 3 (Multiple Power Rules)
- Rule 4 (Quotient of Powers)
- Rule 5 (Power of a quotient)
- Rule 6 (Negative Exponents)
What are the types of exponents?
There are 4 kinds of exponents:
- Positive exponents (deal with positive numbers)
- Negative exponents (deal with negative numbers)
- Zero exponents (an expression with 0 as the exponent and is equal to 1)
- Rational exponents (exponents that are fractions)
What is the purpose of Exponent?
Exponents are important in math because they allow us to abbreviate something that would otherwise be really tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents we’d only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row.
How do you simplify exponents when dividing?
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
How do you solve exponents with variables?
For example, to solve 2x – 5 = 8x – 3, follow these steps:
- Rewrite all exponential equations so that they have the same base. This step gives you 2x – 5 = (23)x – 3.
- Use the properties of exponents to simplify. A power to a power signifies that you multiply the exponents.
- Drop the base on both sides.
- Solve the equation.