Exponential Notation and Operations

The video tutorial explains multiplication and division in exponential notation. It covers how to multiply and divide numbers with exponents, including examples with both positive and negative exponents. The tutorial demonstrates the process of combining exponents during multiplication and subtraction during division, providing clear examples to illustrate these concepts.

What happens to the exponents when you multiply two numbers in exponential notation?

• They are multiplied.

• They are added together.

• They are subtracted.

• They remain unchanged.

In the expression a * 10^m * b * 10^n, what is the resulting exponent?

• m - n

• m + n

• m * n

• m / n

When multiplying 4 * 10^7 and 9 * 10^2, what is the resulting power of 10?

• 10^8

• 10^10

• 10^9

• 10^5

What is the product of 4 * 10^7 and 9 * 10^2 in exponential notation?

• 36 * 10^10

• 3.6 * 10^9

• 3.6 * 10^10

• 36 * 10^9

How do you adjust the decimal in 36 * 10^9 to fit exponential notation?

• No adjustment needed

• Move it two places to the left

• Move it one place to the right

• Move it one place to the left

What is the result of multiplying 3.5 * 10^8 by -2 * 10^3?

• 7 * 10^10

• -7 * 10^11

• 7 * 10^11

• -7 * 10^10

In the multiplication of 3.5 * 10^8 and -2 * 10^3, what is the resulting exponent?

• 11

• 10

• 9

• 12

What is the first step in dividing numbers in exponential notation?

• Divide the coefficients

• Add the exponents

• Subtract the exponents

• Multiply the coefficients

In the division a * 10^m / b * 10^n, what happens to the exponents?

• They are subtracted

• They remain the same

• They are added

• They are multiplied

What is the result of dividing 8 * 10^8 by 2 * 10^5?

• 4 * 10^13

• 4 * 10^3

• 16 * 10^3

• 16 * 10^13