8/1.01 Product & Quotient of Powers

Simplify: 2³⋅2²

• 2⁵

• 2⁶

• 4⁵

• 10

Which statement is true?

• a^m +aⁿ = a^m+n

• a^m⋅aⁿ = a^m+n

• a^m ⋅aⁿ = a^m⋅n

• a^m⋅aⁿ=a^m−n

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Simplify: x⁴⋅x³

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Match the following

• 7⁴

• 2³⋅2⁴

• 2⁷

• (x⁵)(x²)

• x⁷

• m⁵

• Final answer is x⁷

• Subtract exponents

  10 −3 = 7

• Write quotient as x¹⁰⁻³

A student says: 2³ ⋅3² = 6⁵

Do you agree?

• Yes, because you multiply the bases and add the exponents.

• No, because the bases are not the same. The correct answer is 72.

• Yes, because exponent rules apply for all numbers.

• No, the correct answer is 6²

Identify the base and exponent in 4⁵

• Base = 5

• Exponent = 4

• Exponent = 5

• Base = 4