Exponent Properties Practice for Algebra 1 Review

This video tutorial covers simplifying expressions using the laws of exponents, including integral and rational exponents. It explains how to simplify fractions, apply the quotient property, handle negative exponents, and use the power of a power property. The tutorial also demonstrates raising fractions to a power and calculating the area of a circle using exponents. Throughout, the instructor provides example problems and encourages viewers to try solving them independently.

What does the term 'integral exponents' refer to?

• Exponents that are irrational numbers

• Exponents that are whole numbers

• Exponents that are fractions

• Exponents that are decimals

Tags

CCSS.8.EE.A.1

How can you simplify the fraction 14/8?

• Divide both numerator and denominator by 2

• Multiply both numerator and denominator by 2

• Add 2 to both numerator and denominator

• Subtract 2 from both numerator and denominator

When dividing variables with the same base, what should you do with the exponents?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

Tags

CCSS.8.EE.A.1

What is the result of subtracting -5 from -10 in terms of exponents?

• 15

• -5

• -15

• 5

Tags

CCSS.7.NS.A.1B

How do you handle a negative exponent in a simplified expression?

• Leave it as is

• Subtract 1 from the exponent

• Add 1 to the exponent

• Take the reciprocal and make the exponent positive

Tags

CCSS.8.EE.A.1

What happens when you raise a single term to a power?

• The exponent applies only to the variable

• The exponent does not apply to the term

• The exponent applies to both the coefficient and the variable

• The exponent applies only to the coefficient

What is 2R^5 divided by 2R^2?

• 2R^3

• 2R^7

• R^3

• R^7

What is the simplified form of (7x^3 / 2y^4)^2?

• 49x^6 / 4y^8

• 14x^3 / 4y^4

• 14x^6 / 4y^8

• 49x^3 / 4y^4

Tags

CCSS.HSA.APR.A.1

What is the area of a circle with radius 6x^9y^5?

• 36πx^9y^5

• 36πx^18y^10

• 6πx^9y^5

• 6πx^18y^10

What property allows you to rearrange the order of multiplication?

• Commutative property

• Distributive property

• Associative property

• Identity property

Tags

CCSS.3.OA.B.5