Exponents Product and Power

Simplify the exponential expression.

• 2x⁶y¹²

• 2x⁵y⁷

• 8x⁶y¹²

• 8x⁵y⁷

Simplify:
(6p²q³)(4pq)

• 10p³q⁴

• 24p²q³

• 24p³q⁴

• 10p²q³

If a rectangle has a height of 5x²y⁷ and a width of 3x³y, what is the area? (Hint: Multiply width by height to get area of a rectangle)

• 8x⁵y⁸

• 15x⁶y⁷

• 8x⁶y⁷

• 15x⁵y⁸

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

• multiply

• add

• subtract

• divide

What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4

• 6⁴

• 4²

• 4⁶

• 4 x 6

(3⁴)(3⁷)

• 3²⁸

• 3³

• 3^-3

• 3¹¹

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Write the product as a power :

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

• -2⁵

• 2^-5

• (-2)⁵

• (-2)^-5

Which expression is equivalent to 3⁴?

• 3+3+3+3

• 4+4+4

• 4x4x4

• 3x3x3x3