Exploring Properties of Exponents

Mrs. Halle introduces the lesson on properties of integer exponents, focusing on multiplication, division, and power of a power rules. She explains how to handle exponents with the same base, demonstrating the addition, subtraction, and multiplication of powers through examples. The lesson aims to help students apply these properties effectively.

What happens when you multiply two exponents with the same base?

• None of the above

• Subtract their exponents

• Multiply their bases

• Add their exponents

If you have 2^5 * 2^3, what is the result?

• 4^8

• 2^8

• 2^6

• 2^15

If you have X^5 * X^20, what is the simplified form?

• X^15

• 25X

• X^100

• X^25

What is the result of dividing exponents with the same base, such as X^12 / X^20?

• X^8

• X^32

• X^0

• X^-8

How do you handle a negative exponent, such as X^-8?

• 1 / X^8

• -X^8

• X^8

• 1 / X^-8

What is the result of 4^9 / 4^5?

• 1

• 4^4

• 4^14

• 4^45

What does a negative exponent indicate in terms of division?

• The base is divided by itself

• The base is negative

• The result is a fraction

• The exponent is subtracted from the base

When a power is raised to another power, such as (X^9)^5, what do you do with the exponents?

• Add them

• Divide them

• Subtract them

• Multiply them

What is the result of (7^2)^3?

• 7^6

• 21

• 7^9

• 7^5

How do you simplify an expression where a power is raised to another power, like X^(2*3)?

• X^8

• X^9

• X^5

• X^6