Multiplication Rules of Exponents: Power Rule

Multiplication Rules of Exponents: Power Rule

By nicole stanziale

Multiple Choice

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

Multiple Choice

$$\left(x^5\right)^4$$  

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

Multiple Choice

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

• 0

• 1

Multiple Choice

$$\left(a^3b^5\right)^7$$  =

• $$a^3b^{35}$$  

• $$a^{10}b^{12}$$  

• $$a^8b^8$$  

• $$a^{21}b^{35}$$  

Multiple Choice

$$\left(x^7\right)^2$$  =

• $$x^{14}$$  

• $$x^9$$  

• $$x^5$$  

• $$2x^7$$  

Multiple Choice

Simplify the following expression:

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Multiple Choice

Simplify the following expression:

(3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

Multiple Choice

Simplify the following expression:

(7a²)(5a⁶b)²

• 35a¹⁴b²

• 175a¹²b²

• 175a¹⁴b²

• 35a¹⁴b

Multiple Choice

Simplify the following expression:

(-2r³p²m)³

• -8r⁹p⁶m³

• -8r⁹p⁶m

• -6r⁶p⁵m⁴

• -6r⁹p⁶m³

Multiple Choice

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)
• 2(x)(x)(x)
• 2x + 2x + 2x
• 2x⋅3

Multiple Choice

(2x⁴y⁵)(-3x²y⁷)

• 6x⁶y¹²
• -1x⁶y^-2
• -6x²y²
• -6x⁶y¹²

Multiple Choice

xy⁰

• xy
• x
• 1
• 0

Multiple Choice

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10