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Factor each monomial completely.

16x3y2

Short Answer

Expert verified

1â‹…2â‹…2â‹…2â‹…2â‹…xâ‹…xâ‹…xâ‹…yâ‹…y

Step by step solution

01

Step 1. Define monomial.

Monomial can be expressed as a product of prime numbers and variables, and no variable has an exponent greater than 1.

02

Step 2. Factor given number.

Factor given number and write all powers of variables as products.

16x3y2=1â‹…16x3y2=1â‹…2â‹…8â‹…xâ‹…xâ‹…xâ‹…yâ‹…y=1â‹…2â‹…2â‹…2â‹…2â‹…xâ‹…xâ‹…xâ‹…yâ‹…y

03

Step 3. Write the conclusion.

The given monomial can not be factored further, therefore1â‹…2â‹…2â‹…2â‹…2â‹…xâ‹…xâ‹…xâ‹…yâ‹…y is the required answer.

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