Product Property of Exponents

The Product Property of Exponents states that:

• If you have the SAME BASE, $\rightarrow$ SUBTRACT the exponents

• If you have the SAME BASE, $\rightarrow$ ADD the exponents

• If you have the SAME BASE, $\rightarrow$ MULTIPLY the exponents

• If you have the SAME BASE, $\rightarrow$ DIVIDE the exponents

4³ x 4³

• 4⁶

• 4⁹

• 16⁶

• 16⁹

Tags

CCSS.6.EE.A.1

7³ x 7³

• 7⁹

• 49⁶

• 49⁹

• 7⁶

Tags

CCSS.8.EE.A.1

n⁹  • n⁷ •  n³

• n⁹⁷³
• n¹⁸⁹
• n¹⁹
• n²⁰

Tags

CCSS.HSA.APR.A.1

x²•x¹⁰

• x²⁰
• x⁸
• x¹²
• Choose if you are Guerra

Tags

CCSS.HSA.APR.A.1

X^m • Xⁿ

• X^{m • n}

• X^{(m / n)}

• X^{m + n}

• X^{m – n}

What is the exponent for the variable "b" in 5a²b ?

• Zero

• One

• undefined

• There is no exponent

What is the value of the missing exponent in: $\left(a^2\right)\left(a^?\right)\ =a^8$  

• 4

• 6

• – 4

• 16

This statement $b^3b^4b^2b\ =\ b^{10}$  is:

• WRONG, the answer should be  $b^9$  

• WRONG, the answer should be  $b^{24}$  

• CORRECT because of the of the "invisible" exponent "1"

• CORRECT because the variable "b" is after "a"

When multiplying items that have the same base, keep the base and add the exponents

• Product Property
• Quotient Property
• Power of Products Property
• Power Property

Tags

CCSS.8.EE.A.1