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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.
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 m n .
Power of a Power Rule – Formula and Examples When we have the power of the power in exponential expressions, we find the new power by multiplying the two powers. For example, in the following expression, x squared is being raised to the power of 5, so we multiply 2 and 5 to find the new power.
Exponent rules are those laws that are used for simplifying expressions with exponents. Learn about exponent rules, the zero rule of exponent, the negative rule of exponent, the product rule of exponent, and the quotient rule of exponent with the solved examples, and practice questions.
When taking a power of a power all you do is multiply the exponents. So: (am)n=am⋅n. When taking a product to a power you distribute the power to all the terms inside, taking the product of each of them. In other words: (ma⋅nb)c=ma⋅c⋅nb⋅c. This closely resembles the distributive property we use without exponents. Let's look at an example.
14 lis 2021 · Since \(3x^2\) is raised to the power of zero, then we can apply the zero power rule: \[\begin{array}{rl}(3x^2)^0&\text{Zero power rule} \\ 1&\text{Simplified expression}\end{array}\nonumber\]
2 maj 2023 · In this maths article, we shall learn about the power of power rule in detail. We will also check its formula and applications of power of power rule while simplifying an algebraic expression. We shall also solve some examples for better understanding of the concept. What is the Power of Power Rule?
