Exponent Rules with Variable Expressions

A number that tells how many times a base is used as a factor

• Exponent

• Variable

• Terms

• Coefficients

The number of times a number or expression (called base) is used as a factor of repeated multiplication. Also called the power. (Example 6⁵)

• Distributive Property

• Exponent

• Variable

• Order of Operations

• add

• subtract

• multiply

• divide

Simplify:

(2x³y)³

• 8x⁹y³

• 16x³y⁶

• 6x³y⁶

• 8x³y⁹

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

Anything raised to a power of zero is always:

for example: (3x³)⁰

• 0

• 1

• itself

• negative

According to exponent rules, when we divide expressions with the same variables, we _______ their exponents. for example: \(\frac{3x^3y^2}{x^{-2}y^5}\)

• add

• subtract

• multiply

• divide

• add

• subtract

• multiply

• divide

• add them

• subtract them

• divide them

• multiply them