Exponents Friday Review

Power Play

100

(2x³ )(9x⁴ )

18x⁷

200

[[(x²)³]⁴]⁵

x¹²⁰

300

(7x³z)⁴

2401x¹²z⁴

400

(x²)³ * (4x)⁵

1024x¹¹

500

(x²z) * (3xm³)⁷

2187x⁹m²¹z

Zero and Below

100

t⁰

1

200

t⁰ + (4⁴/4⁴) + C¹

2C

300

Rewrite using positive exponents: c^-7t^-4

1/(c⁷t⁴)

400

Rewrite using negative exponents: 20/(z⁴x⁷)

20z^-4x^-7

500

Simplify: x²⁰/x^-4

x²⁴

Fix the Flop

100

x²*x³=x⁶

Power of a product rule: add the exponents (do not multiply)

200

x³/x=x⁴

Quotient Rule: Subtract top to bottom

300

(7x²t)³ = 7x⁶t³

Power of a Power Rule: The three also applies to the 7. (7x³)

400

x³/x³ = x¹

Quotient Rule: Subtract top to bottom. (x⁰ = 1)

500

(4m²)² = 8m⁴

Power of a Power Rule: The 4 should be to the power of 2, not multiplied by 2. (16m⁴)

Root Rally

100

Is the cube root of 27 rational?

Yes, it is a perfect cube

200

Is the square root of 729 rational?

Yes, it is a perfect square.

300

Which two perfect squares does 62 fall between?

49 and 64

400

Which two whole numbers will the square root of 102 fall between?

10 and 11

500

Which two perfect cubes does 98 fall between?

64 and 125