Exponent Rules with Variables

Simplify the expression using the correct exponent rule.

4x³*5x⁶

• 20x¹⁸

• 20x⁹

• 9x⁹

• 8x⁴
• 8x⁸
• 6x⁴
• 6x⁸

When dividing like bases, ________ the exponents of like variables.

• add

• multiply

• subtract

• divide

Simplify the exponential expression:

• 10x^-2

• 2x²

• 2x¹²

• 10x¹²

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

Evaluate the expression using the quotient rule.

• x¹³

• x⁵

• x³⁶

• x^-5

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

• add

• subtract

• multiply

• divide

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