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UTA Software Infinite PreAlgebraName Powers of Products and QuotientsDate Period Simplify. Your answer should contain only positive exponents. 1) (3a 2 ×32) (2n 4 ×43) (3 × 4 ×44) (6b 2 ×25)
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How to fill out powers of products and:

01
First, start by identifying the base number and the exponent. The base number is the number that will be multiplied repeatedly, and the exponent is the number of times it will be multiplied.
02
Multiply the base number by itself for the number of times indicated by the exponent. For example, if the base number is 2 and the exponent is 3, you would multiply 2 x 2 x 2 = 8.
03
If there are multiple terms in the expression, such as (2x)(3y)^2, treat each term separately. In this example, you would first find the square of the exponent for (3y)^2, which gives you 9y^2. Then you can multiply it by 2x, resulting in 18xy^2.
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Continue this process for each term and combine like terms if necessary. For instance, if you have (2x)^2(3x)^3, you would first calculate (2x)^2 = 4x^2 and (3x)^3 = 27x^3. Then, multiply these two terms together, yielding 108x^5.

Who needs powers of products and:

01
Students studying mathematics, particularly algebra and arithmetic, need to understand and work with powers of products. It is a fundamental concept in these subjects.
02
Scientists and researchers frequently encounter powers of products when dealing with equations and calculations involving quantities that are repeatedly multiplied.
03
Engineers and professionals in fields such as physics, chemistry, and computer science often rely on powers of products to analyze and solve complex problems relevant to their specific domains.
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The powers of products and refer to the control and authority over the production and distribution of goods or services.
Businesses or individuals that have ownership or decision-making power over a product or service are required to file powers of products and.
Powers of products and can be filled out by providing detailed information about the product or service, its production process, distribution channels, and the individuals or entities responsible for its management.
The purpose of powers of products and is to ensure transparency and accountability in the production and distribution of goods and services.
Information such as the product or service description, production method, distribution channels, and ownership or decision-making details must be reported on powers of products and.
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