Definition and Explanation of Product of Powers Property In mathematics, the product of power property helps simplify expressions involving exponents. The rule states that when you multiply terms with the same base, you can simply add their exponents to get the final answer. This makes it easier ...
1英语翻译The product of powers rule assists with simplifying exponents.Let's first define some terms as they relate to exponents.When you have a number or variable raised to a power,the number (or variable) is called the base,while the superscript number is called the exponent or power.反馈...
This rule states that if two powers are being multiplied, and if their bases are equal, then the product of the powers will have the same base as the powers being multiplied, and it will be raised to an exponent equal to the sum of the exponents over the powers being multiplied. Some...
If the product of xy=28 when y =196, what is the value of x? Explain the product of powers property using the example below. 2^5 2^{- 3} 2^{5 + (-3)} 2^2 4 Which of the products below is equivalent to sin(4x)+sin(6x)? -2sin(5x)sinx -2sin(5x)cosx -2sin(x)cos(...
Explain the product of powers property using the example below. 2^5 2^{- 3} 2^{5 + (-3)} 2^2 4 What does the power rule for exponents states? Justify along with an example. Why is it called the product rule? What is the power rule for limits? What is a power in algebra?
When dividing terms that also contain coefficients, divide the coefficients and then divide variable powers with the same base by subtracting the exponents.Example Simplify. 12x42x12x42x Show Solution In the following video we show another example of how to use the quotient rule to divide ...
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A matrix B with this property is called the inverse of A and is given the name A−1. If A−1 exists, it must be unique. The proof of this statement is simple: If B and C are both inverses of A, then A B=B A=A C=C A=1. We now look at C A B=(C...
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Product Differentiation Rule d d d --- [f(x) • g(x)] = f(x) • --- g(x) + g(x) • --- f(x) dx dx dx In words: the derivative of a product of two functions is the first function times the derivative of the second function plus the second function times the deriv...