Dividing Powers Worksheet

This worksheet focuses on dividing powers with the same base, different bases, and applying the quotient rule for exponents, suitable for Grade 12 students.

Grade 12 Math Number SenseExponentsDividing Powers

Use This Worksheet

Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.cCCSS.MATH.CONTENT.HSN.RN.A.2

Topics

MathGrade 12ExponentsDividing PowersAlgebra

7 sections · Free to use · Printable

← More Math worksheets for Grade 12

Dividing Powers

Name:

Date:

Score:

Read each question carefully and simplify the expressions involving dividing powers. Show all your work.

1. The quotient rule for exponents states that when dividing powers with the same base, you the exponents. Mathematically, this is expressed as a^m / a^n = a^( ).

2. Which of the following is equivalent to (x^8) / (x^3)?

x^24

x^5

x^11

x^(8/3)

3. Simplify the following expression: (y^10 * y^4) / y^6

4. Simplify: (12a^7b^3) / (4a^2b)

5. (2^5) / (2^2) = 2^3

True

False

6. (x^0) / (x^5) = x^(-5) for x ≠ 0

True

False

7. Simplify the expression: ( (3x^2)^3 * y^5 ) / ( 9x^4 * y^2 )

8. Given the expression ( (a^5 b^(-2)) / (a^(-1) b^3) )^(-2), simplify it to an equivalent form with positive exponents.