Exponent Laws

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

• Add

• Subract

• Multiply

• Divide

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

• add

• subtract

• multiply

• divide

How would you change this to a positive exponent:
1/x^-3

• 1/x³

• x³

• 3x

• 1/3x

x⁻⁶

• 1 ⁄ x⁶

• x⁶

• -x⁶

• -1 ⁄ x⁶

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Simplify the following:
(x²y)⁵

• x⁷y⁵

• x²y⁵

• x¹⁰y⁵

• x⁵y⁵

Write the product using an Exponent

5 x 5 x 5

Write the product using an Exponent

6 x 6 x 6 x 6