Negative Bases and Exponentiation

The video tutorial explains how to handle exponents with negative bases, emphasizing the importance of using parentheses to correctly interpret the base. It covers rules for operations with both positive and negative bases, providing examples to illustrate the outcomes when parentheses are used or omitted. The tutorial also explains the order of operations and how it affects the results of exponentiation with negative bases.

What is the significance of using parentheses around a negative base in exponentiation?

• It includes the negative sign in the base.

• It changes the base to positive.

• It has no effect on the result.

• It makes the exponent even.

If a number with a positive base is raised to any exponent, what will be the sign of the result?

• Depends on the exponent

• Zero

• Always negative

• Always positive

What happens when a negative base enclosed in parentheses is raised to an even exponent?

• The result is zero.

• The result is undefined.

• The result is positive.

• The result is negative.

Evaluate (-6)^2.

• -12

• 12

• 36

• -36

Evaluate (-6)^3.

• -216

• 216

• 36

• -36

What is the result of (-9)^2?

• -81

• 81

• -9

• 9

Evaluate (-4)^5.

• -1024

• 1024

• -256

• 256

What is the result of (-7)^2?

• 49

• -14

• 14

• -49

Evaluate (-10)^7.

• 1,000,000

• -10,000,000

• -1,000,000

• 10,000,000

What is the result of -2^2 without parentheses?

• 2

• -2

• 4

• -4