Exponent Operations

Exponent Operations

Everything you need to know about exponents

Multiplication

If two expressions have the same base, what happens to the exponents when the expressions are multiplied?

Multiple Choice

Fill in the missing exponent:

 $2^3\times2^4=2^-$  

• 12

• 7

• 1

• 8

Multiple Choice

Fill in the missing exponent:

 $t^4\times t^4=t^-$  

• 4

• 0

• 16

• 8

Multiple Choice

Fill in the missing exponent:

 $3^4\times x^3\times x^5=\ 81x^-$  

• 12

• 7

• 60

• 8

What if there are coefficients?

If there are numbers attached to both exponential expressions- Multiply them!

Multiple Choice

Fill in the missing exponent:

 $\left(5p^3\right)\left(-m^8p^2\right)=\ -5m^8p^-$  

• 13

• 5

• 10

• 11

Multiple Choice

Fill in the missing exponent:

 $\left(-2^2x^3y^4\right)\left(\left(-3\right)^2x^4y^4\right)=\ -36x^-y^8$  

• 7

• 4

• 10

• 19

Power Rule

When there is an exponent on the outside of parentheses

The fastest way to raise an exponent to another power is to

Multiply the exponents

Multiple Choice

Fill in the missing exponent:

 $\left(2^3x\right)^2=\ 2^-x^2$  

• 6

• 8

• 5

• 1

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 6

• 3

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 6

• 3

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 4

• 3

Quotient Rule

When there are exponents as numerators and denominators

You can subtract the exponents

Because one copy of each denominator cancells out one copy of each numerator

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 4

• 3

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 4

• 3

Multiple Choice

Fill in the missing exponent:

• 2

• 5

• 4

• 3

Multiple Choice

Fill in the missing number:

• 18

• 9

• 6

• x

Open Ended

What pattern do you see on the left?

Open Ended

What pattern do you see on the right?

Multiple Choice

Fill in the missing exponent

• 6

• -6

• 1

• -1

Multiple Choice

True or False?

• True

• False

Multiple Choice

True or False: The final answer is shown

• True

• False