Laws of Eponents

Simplify:
(x³)(x²)

• x⁵
• x⁶
• x
• x^1.5

Tags

CCSS.HSA.APR.A.1

Simplify:
x⁵ ÷ x²

• x⁷
• x³
• x¹⁰
• x^2.5

Tags

CCSS.HSA.APR.A.1

Simplify:
(x³)⁴

• x⁷
• x¹²
• x^-1
• x^3/4

Tags

CCSS.HSA.APR.A.1

Simplify:
3(x³y²)²

• 3x⁶y⁴
• 3x⁵y⁴
• 9x⁶y⁴
• 9x⁵y⁴

Tags

CCSS.HSA.APR.A.1

Simplify:
(x³y²)(xy⁴)

• x³y⁸
• x⁴y⁶
• x³y⁶
• x⁴y⁸

Tags

CCSS.HSA.APR.A.1

Simplify.

 $\left(\frac{(4𝑎^2𝑏)}{c^7}\right)^3$  

•  $\frac{\left(4^3a^3b^3\right)}{c^3}$  

•  $\frac{\left(4^3a^6b^3\right)}{c^{21}}$  

•  $4^3a^6b^3c^{21}$  

•  $\frac{12a^6b^3}{c^{21}}$  

What is

 $\left(-6x^3y^2\right)\left(2x^3y^2\right)$  

•  $-12xy$  

•  $-12x^6y^4$  

•  $-12x^3y^2$  

•  $-12x^9y^4$  

Evaluate.

 $\left(-3xy^2\right)^5\left(-5x^4y^3\right)^2$  

•  $15x^{25}y^{10}$  

•  $-15x^{13}y^{16}$  

•  $15x^{13}y^{16}$  

•  $-15x^{25}y^{10}$  

Rewrite using a positive exponent.  $\left(-5\right)^{-4}$  

•  $\left(-5\right)^4$  

•  $\frac{1}{\left(-5\right)^{-4}}$  

•  $\frac{1}{\left(-5\right)^4}$  

•  $-625$  

Tags

CCSS.8.EE.A.1

Why is it important to follow the Laws of Exponents? What topic will this Laws of Exponents be most useful?