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.

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CCSS.8.EE.A.1

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

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CCSS.6.EE.A.1

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

• 16

• 32

• 64

• 128

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.8.EE.A.1

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

• 1/9

• 9

• 1/6

• 6

Tags

CCSS.8.EE.A.1

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

• 5^3

• 1/5^3

• 5^-3

• 1/3^5

Tags

CCSS.6.EE.A.1

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

• 15

• 225

• 25

• 125

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.8.EE.A.1

Which of the following expressions simplifies to 9?

• 3^-2

• (1/3)^-2

• 1/3^2

• 3^2

Tags

CCSS.8.EE.A.1

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

• 1/125

• 25

• 125

• 5

Tags

CCSS.8.EE.A.1