Exploring Multiplication Properties of Exponents

This video tutorial covers algebra lesson 7-3, focusing on multiplication properties of exponents. It explains how to simplify expressions by adding exponents when multiplying powers with the same base and introduces the property of raising a power to a power by multiplying exponents. The lesson also covers order of operations in exponential expressions, simplifying products raised to a power, and handling complex multiplication with exponents. Additionally, it demonstrates using exponents in scientific notation and concludes with a discussion on the difference between a power of a power and a power of a product.

What is the result of multiplying two numbers with the same base, such as (2^3 * 2^5)?

• 2^15

• 2^8

• 2^3

• 2^5

If you have (3^6) raised to the power of 2, what is the simplified result?

• 3^8

• 3^12

• 3^6

• 3^18

How do you simplify (5^4) raised to the power of 3?

• 5^16

• 5^8

• 5^12

• 5^7

What is the simplified form of (x^2 * x^6) raised to the power of -4?

• x^-24

• x^-22

• x^22

• x^24

How do you simplify (h^-2 * h^4) raised to the power of -3?

• h^12

• h^-14

• h^14

• h^-12

What is the result of raising (6x) to the power of 3?

• 6^3 x^2

• 6 x^3

• 6^3 x

• 6^3 x^3

How do you simplify (4xy^3) raised to the power of 2?

• 4^2 x y^6

• 4^2 x^2 y^3

• 4 x^2 y^6

• 4^2 x^2 y^6

What is the simplified form of (6ab) raised to the power of 3?

• 6^3 ab^3

• 6^3 a^3 b

• 6 a^3 b^3

• 6^3 a^3 b^3

How do you simplify (3 * 10^8) raised to the power of 2?

• 3^2 * 10^16

• 3^2 * 10^8

• 3 * 10^16

• 3 * 10^8

What is the kinetic energy of an aircraft with a mass of (2.5 * 10^5) kg traveling at a speed of (3 * 10^2) m/s?

• 1.125 * 10^10 J

• 1.125 * 10^9 J

• 1.125 * 10^8 J

• 1.125 * 10^7 J