Exponential Rules

Simplify the expression.
x⁴ ⋅ x¹²

• x³
• x⁴⁸
• x¹⁶
• x⁸

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

(-5d⁴g⁵)(2dg)

• -10dogs
• 10d³g⁴
• -10d⁴g⁵
• -10d⁵g⁶

Tags

CCSS.HSA.APR.A.1

Which expression is equivalent to (16x⁸y¹²)^1/4?

• 2xy³
• 4xy³ 
• 2x²y³
• 4x²y³ 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Tags

CCSS.6.EE.A.1

According to exponent rules, when we raise the power to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

According to exponent rules, when we multiply the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

According to exponent rules, when we divide the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

Simplify  $\frac{\left(3x\right)^2}{\left(3x\right)^{-3}}$  

•  $3x^5$  

•  $\frac{1}{3x^5}$  

•  $\frac{1}{3x}$  

•  $\left(3x\right)^5$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify $\left(\frac{4x}{2x^5}\right)^3$  

•  $\frac{8}{x^{12}}$  

•  $8x^{12}$  

•  $\frac{32}{x^{12}}$  

•  $32x^4$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify  $\frac{5x^2y^{-3}}{x^{-3}y^4}$  

•  $\frac{5x}{y}$  

•  $\frac{5y}{x}$  

•  $5x^5y^7$  

•  $\frac{5x^5}{y^7}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3