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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.
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: 8 2 = 8 × 8 = 64
In calculus, the power rule is used to differentiate functions of the form () =, whenever is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
What is Power of a Power Rule in Math? The power of a power rule in exponents is a rule that is applied to simplify an algebraic expression when a base is raised to a power, and then the whole expression is raised to another power. The rule states that 'If the base raised to a power is being raised to another power, then the two powers are ...
Power Rule. Power means exponent, such as the 2 in x 2. The Power Rule, one of the most commonly used derivative rules, says: The derivative of xn is nx(n−1) Example: What is the derivative of x 2 ? For x 2 we use the Power Rule with n=2: Answer: the derivative of x2 is 2x. "The derivative of" can be shown with this little "dash" mark: ’.
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.
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] .
