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The power to the power rule states that 'If the base raised to a power is being raised to another power, then the two powers are multiplied and the base remains the same.'. The formula for the power of a power rule is (a m) n = a mn. Power of a power rule for negative exponents: (a -m) -n = a -m×-n = a mn.
The power of a power rule is an important exponent rule (law of exponent) used to simplify an expression of the form $(x^{m})^{n}$, where the base x is raised to a power m and the entire expression $x^{m}$ is raised to the power n again.
Applications. Video Lesson. What is Exponent? An exponent of a number, represents the number of times the number is multiplied to itself. If 8 is multiplied by itself for n times, then, it is represented as: 8 x 8 x 8 x 8 x …..n times = 8 n. The above expression, 8 n, is said as 8 raised to the power n.
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared". Try it yourself:
Exponent rules. There are many properties and rules of exponents that can be used to simplify algebraic equations. Below are some of the most commonly used. Note that the terms "exponent" and "power" are often used interchangeably to refer to the superscripts in an expression.
14 lis 2021 · Since \(3x^2\) is raised to the power of zero, then we can apply the zero power rule: \[\begin{array}{rl}(3x^2)^0&\text{Zero power rule} \\ 1&\text{Simplified expression}\end{array}\nonumber\]
t. e. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; often said as " b to the power n ". [1] .
