Understanding Exponents

The video tutorial introduces the concept of exponents, starting with a brief history of Google and its name origin. It explains the basic properties of exponents, how to convert between exponents and repeated multiplication, and how to solve various exponent problems. The tutorial also covers more challenging problems, such as calculating the growth of amoebas using exponents. The video aims to provide a comprehensive understanding of exponents and their applications.

What is the origin of the name 'Google' and how is it related to exponents?

• It was inspired by a famous scientist.

• It is an acronym for a technical term.

• It refers to a large number, indicating vast knowledge.

• It was a random name chosen by the founders.

In the expression 3^5, what does the number 3 represent?

• Multiplier

• Coefficient

• Exponent

• Base

How would you express 5 multiplied by itself 4 times using exponents?

• 5^4

• 4^5

• 4*5

• 5*4

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

• -6

• 6

• -8

• 8

Which of the following is the correct order of operations?

• Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

• Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

• Addition, Subtraction, Multiplication, Division

If 7^x = 343, what is the value of x?

• 4

• 3

• 2

• 5

What is the value of 10^4?

• 100

• 1000

• 10000

• 100000

What is the result of 1/4 raised to the power of 4?

• 1/16

• 1/64

• 1/256

• 1/512

How many times does an amoeba divide in one hour if it divides every 15 minutes?

• 2 times

• 3 times

• 4 times

• 5 times

What is the exponential expression for the number of amoebas after 24 hours if they start with 4 and double every 15 minutes?

• 4 * 2^96

• 4 * 2^12

• 4 * 2^24

• 4 * 2^48