Define-Expanded form
Define-Power to another Power Rule
Define-When you have () - how do you know what gets the exponent?
1. Expanded form refers to the expression or representation of a number, equation, or polynomial as the sum or combination of its individual components or terms. It involves breaking down the given expression into its respective components, such as digits, variables, or coefficients, and then writing them as separate units. For example, the expanded form of the number 345 would be represented as 300 + 40 + 5.
2. The power to another power rule, also known as the exponentiation of exponents rule, states that when raising a power to another power, you multiply the exponents together. Mathematically, this rule can be represented as (a^m)^n = a^(m*n), where "a" is the base and "m" and "n" are the exponents. For instance, (2^3)^2 can be simplified using this rule as 2^(3*2) = 2^6.
3. When parentheses are present in an expression with exponents, the exponent applies to the entire contents of the parentheses. This means that whatever is enclosed within the parentheses should be raised to the specified exponent. For example, in the expression (5^2), the exponent would be applied to the entire 5, resulting in 5 raised to the power of 2.