Laws of Exponents

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

• Multiply

• Add

• Subtract

• Divide

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

• Multiply

• Add

• Subtract

• Divide

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

• Multiply

• Add

• Subtract

• Divide

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

• Always move it to the bottom of a fraction

• Move it to the opposite part of the fraction

• Make whole the term negative

• Make one part negative

Simplify:

• x²⁸y¹² / x²y

• x²⁸y¹² / x⁸y⁴

• x²⁰y⁸

Simplify:

• a¹⁴b¹⁶

• (a⁷b)(ab⁸⁾

• a¹²b⁴a²b¹²

Simplify:

• 4k⁴

• 4k^-8

• 4 / k⁸

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Tags

CCSS.HSA.APR.A.1

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Tags

CCSS.HSA.APR.A.1

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4