# 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.

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 Subtraction of Literals

Worksheet on Multiplication of Literals

Worksheet on Powers of Literal Numbers