Worksheet on Powers of Literal Numbers

Practice the questions given in the worksheet on powers of literal numbers or powers of literal quantities. We know, the powers of literal numbers are the repeated product of a number with itself is written in the exponential form.

1. Write each of the following in the exponential form:

(i) a × a × a × a

(ii) 7 × a × b × p × y × y

(iii) y × 15 × y × p × z

(iv) k × h × p × r × h × 50

(v) 150 × a × c × c × b

(vi) u × u × v × v × v × 210

2. Convert each of the following exponential form to (expanded) product form:

(i) z⁵v²

(ii) a³b⁴c⁵

(iii) 5mnq²

(iv) 13d⁴t²p³

(v) 17ab³cd⁴

3. State whether true or false:

(i) a × a × a × a × a × a = a⁶

(ii) 7 × 2 × p × p × q × q = 72p²q²

(iii) 4 × 7 × a × a × c × c × c = 11a²c³

(iv) m × n × m × n × m × n = m³n²

(v) a × b × 10 × c × d × d × b = 10ab²cd²

Now we will practice how to convert the product form to index form and vice-versa in the worksheet on powers of literal numbers.

4. Write each of the following products in index (exponential) form:

(i) m × m × m × m x a × a × b × b × b

(ii) 14 × p × p × y × y × y × z

(iii) a × a × a × a × ..… 10 times b × b × b × b × ..… 10 times.

(iv) m × m × m × ..… 15 times b × b × b × ..… 7 times k × k × k × ..… 20 times.

5. Write each of the following in product form:

(i) 7a⁴b⁵c

(ii) 59p⁵y²z⁷

(iii) b⁴m²q³

(iv) 5p²q⁴r³

(v) 11bc³dz⁵

Answers for the worksheet on powers of literal numbers or powers of literal quantities are given below to check the exact answers of the above questions.

Answers:

1. (i) a⁴

(ii) 7abpy²

(iii) 15py²z

(iv) 50h²kpr

(v) 150ac²b

(vi) 210u²v³

2. (i) z × z × z × z × z × v × v

(ii) a × a × a × b × b × b × b × c × c × c × c × c

(iii) 5 × m × n × q × q

(iv) 13 × d × d × d × d × t × t × p × p × p

(v) 17 × a × b × b × b × c × d × d × d × d

3. (i) true

(ii) false

(iii) false

(iv) false

(v) true

4. (i) m⁴a²b³

(ii) 14p²y³z

(iii) a¹⁰b¹⁰

(iv) b⁷m¹⁵k²⁰

5. (i) 7 × a × a × a × a × b × b × b × b × b × c

(ii) 59 × p × p × p × p × p × y × y × z × z × z × z × z × z × z

(iii) b × b × b × b × m × m × q × q × q

(iv) 5 × p × p × q × q × q × q × r × r × r

(v) 11 × b × c × c × c × d × z × z × z × z × z

Note: Remember the worksheet on powers of literal numbers contains similar types of questions on powers of literal quantities.

● Literal Numbers - Worksheets

Worksheet on Addition of Literals

Worksheet on Subtraction of Literals

Worksheet on Multiplication of Literals

Worksheet on Division of Literals

Worksheet on Powers of Literal Numbers

6th Grade Math Practice

Math Home Work Sheets

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