Laws of Exponents Review

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

• add
• subtract
• multiply
• divide

Tags

CCSS.HSA.APR.A.1

Simplify the expression.  $-\frac{x^4y^{-4}}{\left(yx^{-3}z^{-4}\cdot-2x^3y^{-1}\right)^{-2}}$  

•  $\frac{yz^6}{x^{12}}$  

•  $-\frac{4x^4}{y^4z^8}$  

•  $-\frac{x^2z^6}{2y}$  

•  $\frac{y^3}{2x^6z^8}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify the expression.  $-\frac{y^{-4}z^2\cdot y^0z^2}{\left(2z^{-4}\right)^3}$  

•  $-\frac{z^{16}}{8y^4}$  

•  $-y^{24}x^{18}$  

•  $\frac{y^3}{x}$  

•  $\frac{x^4z^6}{4y^7}$  

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

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Tags

CCSS.8.EE.A.1

Negative Exponent Law states: you must change the exponent to a positive by doing what?

• just change it to positive
• move to the bottom of fraction bar
• move it to the opposite side of fraction bar

Tags

CCSS.8.EE.A.1

• 9a⁸ / 4b²
• 9b² / 4a⁸
• 9a⁴b⁶ / 4
• 9a⁴ / 4b²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Simplify

• 
• 
• 
• 

Tags

CCSS.6.EE.A.1

Simplify:

• x³

• x¹¹

• 1/x¹¹

• 1/x³

Tags

CCSS.HSA.APR.A.1

Simplify:

• x⁶y⁴

• x²y⁴

• x⁸y⁴

• x⁸y

Tags

CCSS.8.EE.A.1

Simplify:

• x⁴/4y³

• x¹²/4y⁹

• x¹²/64y⁹

• x¹²/4y³

Tags

CCSS.HSA.APR.A.1