Understanding Exponent Properties

The video tutorial explains how to simplify expressions with negative exponents by applying exponent properties. It covers converting negative exponents to positive by moving the base across the fraction bar, which changes the sign of the exponent. The tutorial also demonstrates how to handle fractional exponents and verify results using a calculator.

What happens to the exponent when a base with a negative exponent is moved across the fraction bar?

• The exponent becomes zero.

• The base is removed.

• The exponent remains the same.

• The exponent becomes positive.

How can 2 raised to the power of negative 5 be expressed with a positive exponent?

• 1/2^5

• 2^5

• 1/5^2

• 5^2

What is the result of 2 to the power of 5?

• 16

• 32

• 64

• 128

When simplifying (1/3)^-2, what is the first step according to the power of a power property?

• Divide the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Add the exponents.

What is the simplified result of (1/3)^-2?

• 1/9

• 9

• 1/6

• 6

How is 1/5^-3 simplified using positive exponents?

• 5^3

• 1/5^3

• 5^-3

• 1/3^5

What is the value of 5 raised to the power of 3?

• 15

• 225

• 25

• 125

What is the purpose of using a calculator in the final section?

• To solve unrelated problems.

• To change the exponents.

• To verify the simplifications.

• To find new expressions.

Which of the following expressions simplifies to 9?

• 3^-2

• (1/3)^-2

• 1/3^2

• 3^2

What is the result of converting 1/5^-3 to a positive exponent?

• 1/125

• 25

• 125

• 5