Multiplying Powers with the Same Base

This video tutorial covers Section 7.2, focusing on multiplying powers with the same base. It explains the concept of exponents, provides examples, and demonstrates how to simplify expressions by adding exponents. The lesson also covers scientific notation, showing how to multiply numbers in this format and adjust the decimal point. The tutorial emphasizes the importance of combining like terms and avoiding common mistakes, such as multiplying the base and exponent. The session concludes with a practical application involving the speed of light.

What is the basic rule for multiplying powers with the same base?

• Multiply the bases and subtract the exponents

• Add the bases and multiply the exponents

• Multiply the bases and add the exponents

• Keep the base the same and add the exponents

How do you simplify 12^4 * 12^3?

• 12^7

• 12^12

• 12^0

• 12^1

What is the result of 5^-2 * 5^7?

• 5^-5

• 5^0

• 5^5

• 5^9

How do you simplify 9^(-3) * 9^2 * 9^6?

• 9^5

• 9^0

• 9^1

• 9^3

When combining like terms with variables, what should you do with the exponents?

• Subtract them

• Divide them

• Multiply them

• Add them

What is the simplified form of 4z^5 * 9z^-12?

• 36z^7

• 36z^-7

• 36z^17

• 36z^-17

How do you handle a negative exponent in the final answer?

• Subtract 1 from the exponent

• Leave it as is

• Take the reciprocal

• Add 1 to the exponent

What is the result of 2a * 9b^4 * 3a^2?

• 54a^3b^2

• 54a^4b^4

• 54a^2b^4

• 54a^3b^4

In scientific notation, what does the exponent indicate?

• The base of the number

• The number of significant figures

• The number of times to move the decimal point

• The number of zeros

How far does a beam of light travel in one day if the speed of light is 3 * 10^8 m/s and the time is 8.64 * 10^4 seconds?

• 25.92 * 10^13 m

• 25.92 * 10^12 m

• 2.592 * 10^12 m

• 2.592 * 10^13 m