Exploring Multiplying and Dividing Powers

This video tutorial covers the concepts of multiplying and dividing powers using different strategies. It explains how to simplify expressions with exponents, focusing on the product and quotient of powers properties. The tutorial provides step-by-step examples and encourages students to practice these concepts independently.

What is the first step in simplifying an expression with exponents?

• Multiply all numerical bases together

• Expand all numerical bases with exponents

• Combine all like terms

• Divide all numerical bases

When simplifying products of powers, what should you do after expanding the expression?

• Add all the exponents

• Multiply all the numerical bases together

• Divide all the numerical bases

• Subtract the exponents

How many x's are there in the expression 2x^2 * 3x^3 * x?

• 5

• 8

• 6

• 7

What does the product of powers property state?

• Subtract the exponents of like bases

• Divide the exponents of like bases

• Add the exponents of like bases

• Multiply the exponents of like bases

In the expression (7x^5y)^2, what is the simplified form of the numerical base?

• 14

• 49

• 35

• 25

What is the quotient of powers property?

• Multiply the exponents of like bases

• Divide the exponents of like bases

• Subtract the exponents of like bases

• Add the exponents of like bases

How do you simplify the fraction 6x^5y^2 / 10xy^3?

• 3x^4 / 5y^2

• 3x^4 / 5y

• 3x^4y / 5

• 3x^5 / 5y

What happens to the variables when you cancel them in the numerator and denominator?

• They remain the same

• They become zero

• They become one

• They double

In the expression 8a^6c^3 / 2ac^3, what is the simplified form?

• 4a^5c

• 4a^6 / c

• 4a^5 / c

• 4a^5

What is the final simplified form of 12x^11y^2 / 5xy^4?

• 12x^10 / 5y^2

• 12x^10 / 5y

• 12x^10y^2 / 5

• 12x^11 / 5y^2