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:**

(ii) a

(iii) 5mnq

(iv) 13d

(v) 17ab

**3. State
whether true or false:**

(ii) 7 × 2 × p × p × q × q = 72p

(iii) 4 × 7 × a × a × c × c × c = 11a

(iv) m × n × m × n × m × n = m

(v) a × b × 10 × c × d × d × b = 10ab

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:**

(ii) 59p

(iii) b

(iv) 5p

(v) 11bc

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:**

(ii) 7abpy

(iii) 15py

(iv) 50h

(v) 150ac

(vi) 210u

**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

(ii) 14p

(iii) a

(iv) b

**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

**Math Home Work Sheets**

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