Exponent Laws & Irrational Numbers (Grade 8)

Free printable Grade 8 number worksheet: exponent laws, and classifying rational versus irrational numbers.

How to teach exponent laws and irrational numbers teaching guide, with a worked explanation.

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Grade 8 · Math worksheet

Name

Date

Math

Number: Exponent Laws & Irrational Numbers

Simplify each exponent expression, or classify the number as rational or irrational.

1.
Simplify: $6^{3}$ x $6^{4}$ (write as 6^?)
2.
Simplify: $3^{2}$ x $3^{4}$ (write as 3^?)
3.
Simplify: $5^{3}$ x $5^{4}$ (write as 5^?)
4.
Simplify: $2^{5}$ x $2^{5}$ (write as 2^?)
5.
Simplify: $4^{8}$ / $4^{3}$ (write as 4^?)
6.
Simplify: $6^{8}$ / $6^{1}$ (write as 6^?)
7.
Simplify: $2^{8}$ / $2^{2}$ (write as 2^?)
8.
Simplify: $3^{7}$ / $3^{2}$ (write as 3^?)
9.
Simplify: $(5^{3})^{3}$ (write as 5^?)
10.
Simplify: $(2^{2})^{3}$ (write as 2^?)
11.
Simplify: $(2^{2})^{3}$ (write as 2^?)
12.
Is $\sqrt{3}$ rational or irrational?
13.
Is $\sqrt{7}$ rational or irrational?
14.
Is pi rational or irrational?
15.
Is $\sqrt{2}$ rational or irrational?
16.
Is 13 rational or irrational?
17.
Is 13 rational or irrational?

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