Taking the root of a negative expression to an even power, root

The video tutorial explains how to handle negative roots when raised to even exponents, ensuring the result is positive. It covers simplifying expressions by rewriting them in terms of square roots and exponents, and discusses inverse operations such as squaring and taking square roots. Practical examples are provided to illustrate these concepts.

What happens when a negative number is raised to an even power?

• It becomes a negative value.

• It becomes zero.

• It becomes a positive value.

• It remains a negative value.

How can you simplify the expression (-3C)^4?

• By rewriting it as (-3C)^3

• By rewriting it as (-3C)^5

• By rewriting it as (-3C)^2

• By rewriting it as (-3C)^2 squared

What is the result of (-3C) times (-3C)?

• Zero

• Negative C^2

• Positive C^2

• Negative 3C

What is the inverse operation of squaring a number?

• Square root

• Multiplication

• Addition

• Subtraction

If sqrt(X) = 5, what operation would you perform to find X?

• Divide by 5

• Multiply by 5

• Square the result

• Subtract 5