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Chapter 8: Q3. (page 492)

Factor each monomial completely.

−20m5n2

Short Answer

Expert verified

−1⋅2⋅2⋅5⋅m⋅m⋅m⋅m⋅m⋅n⋅n

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.

−20m5n2=−1⋅20m5n2=−1⋅2⋅10⋅m⋅m⋅m⋅m⋅m⋅n⋅n=−1⋅2⋅2⋅5⋅m⋅m⋅m⋅m⋅m⋅n⋅n

03

Step 3. Write the conclusion.

The given monomial cannot be factored further, therefore−1⋅2⋅2⋅5⋅m⋅m⋅m⋅m⋅m⋅n⋅n is the required answer.

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Most popular questions from this chapter

Solve each equation. Check your solutions.

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