Exploring Multiplication Properties of Exponents

Mrs. Preston explains the multiplication properties of exponents, focusing on the product rule. She demonstrates how to multiply powers with the same base by adding their exponents. Examples include calculations with positive and negative exponents, and the simplification of expressions. The video concludes with practice exercises and a brief mention of scientific notation.

What is the product rule for exponents?

• Multiply the bases and exponents

• Keep the base and add the exponents

• Add the bases and multiply the exponents

• Multiply the bases and add the exponents

If you have 3^5 * 3^4, what is the result?

• 3^12

• 3^1

• 3^20

• 3^9

What is the simplified form of n^2 * n^9?

• n^11

• n^18

• n^7

• n^1

How do you simplify 5^-2 * 5^2?

• 5^4

• 5^0

• 5^-4

• 5^2

What is the result of 2^3 * 2^-3?

• 2^3

• 2^-6

• 2^6

• 2^0

When combining terms with different bases, what should you do first?

• Divide the coefficients

• Subtract the exponents

• Multiply the coefficients

• Add the exponents

What is the coefficient when multiplying 2 * 3 * n^5 * n^-2?

• 5

• 1

• 3

• 6

In the expression 5x * 2y^4 * 3x^8, what is the exponent of x after simplification?

• x^12

• x^4

• x^9

• x^1

What is the simplified form of 5x * 2y^4 * 3x^8?

• 30x^9y^4

• 15x^9y^4

• 5x^8y^4

• 10x^12y^4

If you have 4^2 * 4^-2, what is the result?

• 4^2

• 4^-4

• 4^0

• 4^4