Simplifying Exponents and Expressions

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

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

• 3^2

• 3^3

• 3^1

• 3^5

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

• Divide the coefficients

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

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

• 6^1

• 6^9

• 6^0

• 6^-9

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

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

• 4x^-8

• 4x^8

• 4x^-2

• 4x^2

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

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

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