Simplifying Exponents and Expressions

This video tutorial explains the quotient or division rule for exponents, which involves subtracting the exponents when dividing like bases. The instructor provides examples to demonstrate the rule, including cases with coefficients and negative exponents. The video also covers simplifying expressions with different bases and emphasizes the importance of understanding integer rules.

What does an exponent indicate in a mathematical expression?

• The number of times the base is added

• The number of times the base is multiplied

• The number of times the base is subtracted

• The number of times the base is divided

Tags

CCSS.8.EE.A.1

How do you simplify 3^4 divided by 3^1 using the quotient rule?

• 3^2

• 3^3

• 3^1

• 3^5

Tags

CCSS.7.EE.A.1

When simplifying expressions with coefficients, what is the first step?

• Divide the coefficients

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

Tags

CCSS.8.EE.A.1

What is the result of simplifying 6^5 divided by 6^-4?

• 6^1

• 6^9

• 6^0

• 6^-9

Tags

CCSS.8.EE.A.1

How do you handle negative exponents when using the quotient rule?

• Add the exponents

• Ignore the negative sign

• Convert to positive exponents first

• Subtract the exponents

Tags

CCSS.8.EE.A.1

What is the simplified form of 12x^-3 divided by 3x^-5?

• 4x^-8

• 4x^8

• 4x^-2

• 4x^2

Tags

CCSS.8.EE.A.1

When dealing with different bases, what should you do with the exponents?

• Multiply the exponents of different bases

• Subtract the exponents of different bases

• Add the exponents of different bases

• Keep the bases separate and subtract exponents of the same base

What is the result of simplifying 8x^8 divided by x^3?

• x^4

• x^2

• x^11

• x^5

Tags

CCSS.HSA.APR.A.1

How do you simplify expressions with multiple variables using the quotient rule?

• Subtract exponents of the same variable separately

• Ignore the variables

• Multiply all exponents together

• Add all exponents together

Tags

CCSS.8.EE.A.1

What is the simplified form of x^8y^6 divided by x^3y^-1?

• x^5y^7

• x^3y^7

• x^11y^5

• x^5y^5

Tags

CCSS.8.EE.A.1