Simplifying Expressions with Exponents

This video tutorial covers the laws of exponents, focusing on simplifying expressions. It includes examples of multiplying, dividing, and handling powers of powers, as well as dealing with negative exponents. The tutorial emphasizes grouping like terms and applying the appropriate exponent rules to simplify complex expressions.

What is the first step in simplifying expressions using the laws of exponents?

• Divide all terms by 2

• Group like terms together

• Multiply all coefficients

• Add all exponents together

In the expression 4x^2 * 2x^3, what is the simplified form?

• 6x^5

• 6x^6

• 8x^6

• 8x^5

When raising a power to another power, what should you do with the exponents?

• Multiply them

• Subtract them

• Add them

• Divide them

What is the result of simplifying x^7 / x^4?

• x^11

• x^1

• x^3

• x^28

How do you simplify a fraction with exponents in the numerator and denominator?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

What is the result of simplifying 6x^7y^9 / 2x^4y^2?

• 3x^4y^6

• 3x^3y^7

• 3x^3y^6

• 3x^4y^7

How do you handle negative exponents when simplifying expressions?

• Subtract 1 from them

• Add 1 to them

• Convert them to positive by moving to the denominator

• Ignore them

What is the simplified form of (4x^5y / 16xy^4)^3?

• x^15 / 4^3y^9

• x^12 / 4^3y^12

• x^15 / 4^3y^12

• x^12 / 4^3y^9

In the expression 5x^2y * 2x^4y^-3, what is the simplified form?

• 10x^6y^-1

• 10x^8y^-1

• 10x^6y^1

• 10x^8y^1

What is the simplified form of 2x^4y^-4 / 8x^7y^3?

• 1 / 4x^3y^7

• 1 / 4x^3y^4

• 1 / 4x^3y^6

• 1 / 4x^3y^5