Simplify. -√(100 m^32)

Name: Problem 40, Chapter 9: Elementary Algebra
Uploaded: 2021-07-24T16:02:41-08:00
Duration: 1 min 16 s
Channel: Teresa Fuston
Description: Simplify. -√(100 m^32)

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Key Concepts

Even Exponents and Absolute Value Consideration

When taking the square root of a variable raised to an even power, the result is expressed in terms of the absolute value of the variable, because squaring eliminates any sign. This ensures that the simplified expression remains nonnegative, which is consistent with the definition of a square root.

Simplifying Radical Expressions

This concept involves reducing expressions under a radical sign to their simplest form by factoring out perfect squares (or higher powers for other types of roots) and pulling them out of the radical. It uses the property that the square root of a product equals the product of the square roots, provided the factors are nonnegative.

Properties of Exponents

This involves applying rules such as multiplying like bases (where exponents add) and taking roots of powers, which typically means dividing the exponent by the index of the root. These properties make it easier to simplify expressions that combine radicals and powers.

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