3 Vocabulary Terms - Define/Illustrate
Expanded form
Power to another Power Rule
When you have () - how do you know what gets the exponent?
1. Expanded form: In mathematics, expanded form refers to the representation of a number as the sum of its individual place values. For example, the expanded form of the number 325 would be 300 + 20 + 5. This form allows for a better understanding of the value of each digit in a number.
Illustration: 325 can be written in expanded form as 300 + 20 + 5.
2. Power to another Power Rule: In exponentiation, the power to another power rule states that when a number or variable is raised to a power and then raised to another power, the two exponents multiply. For example, (a^m)^n is equal to a^(m*n).
Illustration: (2^3)^2 can be simplified using the power to another power rule as 2^(3*2) = 2^6.
3. Exponent placement: In mathematical expressions involving parentheses, determining which part gets the exponent is based on the order of operations, particularly the exponentiation rule coming before any other operations inside the parentheses.
Illustration: In (2 + 3)^4, the exponent applies to the entire expression inside the parentheses, so it can be simplified to (5)^4 or 5^4.