Understanding Exponents and Powers

The video tutorial introduces Module 9, focusing on equivalent expressions and exponents. It explains the concept of exponents, including the base and exponent parts, and demonstrates how to write expressions as powers. Examples are provided, including those with fractions. The tutorial also covers calculating the value of powers and highlights the special case of any number raised to the power of zero, which equals one.

What is the main focus of Module 9 in Unit 4?

• Solving equations

• Generating equivalent numeric expressions

• Understanding fractions

• Learning about geometry

What is the term used for a number raised to a power?

• Exponent

• Power

• Base

• Factor

In the expression 5^3, what is the base?

• 3

• 8

• 15

• 5

How would you express the multiplication of 3 six times as a power?

• 6^3

• 6^6

• 3^5

• 3^6

When expressing a fraction like (4/5) multiplied three times, how should it be written?

• (4/5)^3

• 4/5^3

• (4/5)^2

• 4/5^2

What is the value of 9 squared?

• 9

• 81

• 27

• 18

What is the result of any number raised to the power of zero?

• Zero

• Infinity

• The number itself

• One

What is another term for 9 raised to the second power?

• 9 powered

• 9 squared

• 9 doubled

• 9 cubed

If the base is 9 and the exponent is 2, how many times should the base be written?

• Four times

• Twice

• Three times

• Once

What is the first step in finding the value of a power?

• Divide the base by the exponent

• Write the base the number of times indicated by the exponent

• Multiply the base by the exponent

• Add the base and exponent