Exponent Laws & Irrational Numbers (Grade 9)

Free printable Grade 9 number worksheet: exponent laws, and classifying rational versus irrational numbers.

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

Show answer key (Pro)Dyslexia-friendlyDecorationsTest header (score box)2 columns✓ Answer key checked by math, never wrong

Grade 9 · Math worksheet

Name

Date

Math

Number: Exponent Laws & Irrational Numbers

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

1.
Simplify: $2^{4}$ x $2^{4}$ (write as 2^?)
2.
Simplify: $4^{3}$ x $4^{3}$ (write as 4^?)
3.
Simplify: $4^{5}$ x $4^{2}$ (write as 4^?)
4.
Simplify: $3^{5}$ x $3^{5}$ (write as 3^?)
5.
Simplify: $4^{8}$ / $4^{3}$ (write as 4^?)
6.
Simplify: $2^{8}$ / $2^{3}$ (write as 2^?)
7.
Simplify: $5^{8}$ / $5^{3}$ (write as 5^?)
8.
Simplify: $2^{5}$ / $2^{2}$ (write as 2^?)
9.
Simplify: $(4^{2})^{2}$ (write as 4^?)
10.
Simplify: $(2^{2})^{2}$ (write as 2^?)
11.
Simplify: $(5^{3})^{3}$ (write as 5^?)
12.
Is 0.333... (repeating) rational or irrational?
13.
Is $\sqrt{9}$ rational or irrational?
14.
Is 13 rational or irrational?
15.
Is 0.333... (repeating) rational or irrational?
16.
Is $\sqrt{2}$ rational or irrational?
17.
Is 0.75 rational or irrational?

Made with ChalkBee · chalkbee.com

Easier or harder (same worksheet, different grade)

NumberGrade 8 · printable PDF

More like this

StatisticsGrade 9 · printable PDF AlgebraGrade 9 · printable PDF GeometryGrade 9 · printable PDF ProbabilityGrade 9 · printable PDF NumberGrade 9 · printable PDF MeasurementGrade 9 · printable PDF

Other Grade 9 worksheets

StatisticsGrade 9 · printable PDF AlgebraGrade 9 · printable PDF GeometryGrade 9 · printable PDF SpaceGrade 9 · printable PDF Financial MathematicsGrade 9 · printable PDF NumberGrade 9 · printable PDF