Powers

Exponents

100

Write the following expression using an exponent:

(3)(3)(3)(3)

3⁴

200

Write the following Exponent as repeated multiplication:

x⁵

(x)(x)(x)(x)(x)

300

Write the following expression using exponents:

5 ⋅ p ⋅ p ⋅ p ⋅  q ⋅ q ⋅ q ⋅ q

5p³q⁴

400

Evaluate the following expression if b= -4, and c= 3.5

c²+b²

28.25

500

A tennis ball drops from the top of a building. After 8 seconds, it drops a distance of 4.9(8)²

313.6m

Negative Exponent

100

Write the following expression with a positive exponent:

(-2)⁵

1/(-2)⁵

200

Write the following fraction using a negative exponent other than -1:

1/y²

y^-2

300

Write the following fraction using a negative exponent other than -1:

1/81

9^-2

400

Evaluate the following expression if x= -4:

3^x

1/81

500

Write the decimal 0.01 using a negative exponent

10^-2

Multiply/Divide Powers

100

Find the product:

3⁴ ⋅ 3⁴

3⁸

200

Find the quotient: 

y⁴/y

y³

300

Find the product:

(3p⁴)(-2p³)

-6p⁷

400

Find the missing exponent:

6^?/6⁴ = 6¹⁰

14

500

A person weighing 5³ can experience forces 5 times their body weight. Find 5³ ⋅ 5 and solve it to find the number of pounds.

625 lbs

Powers of Powers

100

Simplify:

(12³)²

12⁶

200

Simplify:

(f⁵)⁷

f³⁵

300

Simplify:

(2v⁶)⁴

16v⁴

400

Simplify:

(-5a³b⁴)²

25a⁶b⁸

500

Find the volume of a cube that has a side length of (2xy⁵)

Reminder: Volume equals s³ where s is a side.

8x³y¹⁵