Exponent Rules

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Tags

CCSS.8.EE.A.1

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Tags

CCSS.8.EE.A.1

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Tags

CCSS.HSA.APR.A.1

Negative exponents mean to...

Example: h^-8

• Flip the term (make it a fraction or flip the fraction)

  Move the exponent from top to bottom or bottom to top

• make everything negative

• multiply

• divide

ex) 1/x^-4

• x⁴

• -x⁴

• 1/x⁴

• 0

Select an example of a rational exponent (or fractional exponent)

• x⁵

•  $x^{\frac{1}{2}}$  

• x

•  $\sqrt{\alpha}$  

Switch to rational exponents
 $\sqrt{x^3}$  

•  $x^{\frac{3}{2}}$  

•  $x^{\frac{2}{3}}$  

•  $\sqrt{x^3}$  

^simplify 5x³ 2x²

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Tags

CCSS.HSA.APR.A.1

∛512 = ?

• ≈177
• -8
• -8, 8
• 8

Tags

CCSS.8.NS.A.2