Exponent Rules and Simplification

Mrs. Lopez introduces lesson three on numbers in exponential form, focusing on the power of a power rule. She reviews multiplication and division rules for exponents, then explains how to handle exponents raised to another power. The lesson includes examples with integers, decimals, and fractions, emphasizing the importance of multiplying exponents in these cases. Exercises are provided to reinforce the concepts, and the lesson concludes with a discussion on multiplying different bases raised to the same power.

What is the result of multiplying 5^3 by 5^4?

• 5^7

• 5^12

• 5^1

• 5^9

How do you simplify (5^4)^3?

• 5^9

• 5^1

• 5^12

• 5^7

What is the simplified form of (2^3)^8?

• 2^8

• 2^16

• 2^24

• 2^11

How do you simplify (1.3^3)^10?

• 1.3^30

• 1.3^13

• 1.3^10

• 1.3^3

If Sarah wrote 3^5^7 as 3^12, what mistake did she make?

• She multiplied the exponents instead of adding them.

• She added the exponents instead of multiplying them.

• She subtracted the exponents.

• She divided the exponents.

What is the result of (11 * 4)^9?

• 11^9 * 4^9

• 11^4 * 4^9

• 11^9 * 4^4

• 11^4 * 4^4

What is the result of (3^2 * 7^4)^5?

• 3^5 * 7^20

• 3^5 * 7^9

• 3^10 * 7^20

• 3^10 * 7^9

How do you express (5x)^7?

• 5^7 * x^7

• 5^7 * x^1

• 5^1 * x^1

• 5^1 * x^7

How do you express (4/5)^3 in terms of individual powers?

• 4^3 / 5^3

• 4^5 / 5^3

• 4^3 / 5^5

• 4^5 / 5^5

What is the result of (8^10 * 9^10) expressed as a single power?

• (8 * 9)^10

• (8 * 9)^20

• (8 * 9)^5

• (8 * 9)^15