Unit 6, Lesson 3

Unit 6, Lesson 3

Exponents and Multiplication

Lesson 3: Exponents and Multiplication

• I can multiply powers with the same base.

• I can multiply numbers in scientific notation.

Vocabulary

• base

• exponent

• power

• scientific notation

base

the quantity in a power that is used as the factor

Multiple Choice

Which number is the base?

• 6

• 3

• 1

• Huh?

exponent

tells you how many times to use the base as a factor

Multiple Choice

Which number is the exponent?

• 6

• 3

• 1

• Huh?

power

A power has two parts: a base and an exponent.

It is written as a small number to the right and above the base.

scientific notation

A number written in two parts - the digits and the power of 10.

Expressed in the form  $a\times10^n$   where a is < 10.

We'll come back to Scientific Notation in just a bit . . .

Write using a single exponent.

 $3^5\cdot3$  

Write using a single exponent. So, our expression now looks like . . .

 $3^5\cdot3^1$  

Now we have to use what we remember the rule for Product of Powers.

 $3^5\cdot3^1$  

Are you ready to choose your answer? Let's go!

Remember, our original problem looked like this:
 $3^5\cdot3$  

Multiple Choice

 $3^5\cdot3$  

•  $3^4$  

•  $3^5$  

•  $3^6$  

•  $3^7$  

Let's try another problem on your own!

Multiple Choice

Write the expression using a single exponent.

 $2^2\cdot2^8$  

•  $2^6$  

•  $2^8$  

•  $2^{10}$  

•  $2^{16}$  

Great work!

Let's head back to the LL Room!