8th Grade Chapter 2.1-2.3 practice

Prime Factor with Exponents

100

Write the Prime Factor using exponents:

8

2²

200

Write the Prime Factor using exponents:

25

5²

300

Write the Prime Factor using exponents:

36

2² x 3²

400

Write the Prime Factor using exponents:

100

2² x 5²

500

Write the Prime Factor using exponents:

900

2² x 3² x 5²

Exponents

100

Find the base and exponent in

101⁷

The base is 101 and the exponent is 7

200

Find the base and exponent in

(-0.8)³

The base is -0.8 and the exponent is 3

300

Write the expression in exponential notation.

36x36x36x36x36

36⁵

400

Write the expression in exponential notation.

1.2q x 1.2q x 1.2q

(1.2q)³

500

Expand and simplify the expression in exponential notation.

1.6²

1.6 x 1.6 = 2.56

Product of Powers

100

Write the answer in exponential notation.

5⁸ x 5²

5¹⁰

200

Write the answer in exponential notation.

3.2⁴ x 3.2⁵

3.2⁹

300

Write the answer in exponential notation.

(-12)⁸ x (-12)

(-12)⁹

400

s⁴ x s³

s⁷

500

(6xy²)(3x⁷y²)

18x⁸y⁴

Product of Quotients

100

Write the answer in exponential notation.

m⁹ ÷ m⁵

m⁴

200

(-3)⁴ ÷ (-3)²

(-3)²

300

(-7)⁹ ÷ (-7)²

(-7)⁷

400

9⁹ x 9² x 9⁶ ÷ 9⁴ x9² x9³

9⁸

500

5n⁵ x 7m⁴ x 2m⁴ ÷ m⁵ x 5m² x 2n⁴

7nm

Powers of Powers

100

Write the  answer in exponential notation.

(X⁵)³

X¹⁵

200

Write the  answer in exponential notation.

(6⁵)⁴

6²⁰

300

Write the  answer in exponential notation.

(5⁵ x 5⁶)²

5²²

400

Write the  answer in exponential notation.

(q⁴ x q²)⁶

q³⁶

500

Write the  answer in exponential notation.

(t⁴ x t⁴)⁴ ÷ t⁴

t²⁸