1.17 Multiplying Exponents

11.17 DO NOW:

11.17 DO NOW:

11.17 DO NOW:

​Hint: Zero Rule...

What is ?

.

What is ?

What is ?

What is ?

What is ?

What is ?

Multiplying powers to powers

When raising an exponent to another exponent

What is ?

x

21

How To:

How To:

Step 1: add a “1” for missing exponents

How To:

Step 2: Multiply Exponents

How To:

Step 2: Multiply Exponents

5

15

How To:

Step 3: Simplify “Solve by hand or calculator”

32x

15

What does the following expression mean?

What does the following expression mean?

What does the following expression mean?

What does the following expression mean?

If we see a negative
exponent, we will move it
to the other side of the
fraction AND make the
exponent positive

What does the following expression mean?

5-2

Is the same as

1

5²

What does the following expression mean?

5-2

Is the same as

1

25

What does the following expression mean?

To solve I subtract the exponents:

True

False

What does the following expression mean?

1x-2

To solve I subtract the
exponents:

False

Why not???

I don't subtract the
exponents because...

To solve I subtract the
exponents:

False

I don't subtract the
exponents because the
bases are not the
same.

I can move my “y” base to the bottom:

True

False

y -12

x 7

I can move my “y” base to the bottom:

True

Why???

I can move the y to
the denominator
because...

y -12

x 7

I can subtract the exponents:

True

I can move my y base
to the denominator
because the
exponent is negative.

y -12

x 7

What do we notice happens when we work with negative exponents (powers)?

What do we notice happens when we work with negative
exponents (powers)?

●If negative exponent in the numerator (top half of a fraction) that base moves to the bottom AND changes from negative to positive.

●If negative exponent in the denominator (bottom half of the fraction) that base moves to the top AND change from negative to positive.

●If there isn't a fraction written, we use the expression given as the numerator and write the denominator as 1.

EXAMPLE TIME!!!

PRACTICE TIME!!!