All Laws of Exponents

x^-3

• 1/x³
• 1/x^-3
• 3x
• 1/3x

Product Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

What is the correct rule for simplifying negative exponents?

• For every non-zero number, a and integer,n: $a^{-n}=\frac{1}{a}$

• For every non-zero number, a and integer,n: $a^{-n}=a^n$

• For every non-zero number, a and integer,n: $a^{-n}=\frac{1}{a^n}$

• For every non-zero number, a and integer,n: $a^{-n}=0$

(x³)(x²)

• x^-5
• x^-6
• x⁶
• x⁵

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y
• x²⁸y¹² / x⁸y⁴
• x²⁰y⁸

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

• Multiply

• Add

• Divide

• Subtract

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Solve (hint: there's more than 1 law you must obey)

• a¹⁴b¹⁶
• (a⁷b)(ab⁸⁾
• a¹²b⁴a²b¹²

10⋅10⋅10⋅10 is equal to which exponent?

• 1000
• 10³
• 10⁴
• 4¹⁰

Simplify:
x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶
• 6x
• x³
• 6x⁶