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

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Constructing a Line Segment |Construction of Line Segment|Constructing

Aug 14, 24 09:52 AM

We will discuss here about constructing a line segment. We know how to draw a line segment of a certain length. Suppose we want to draw a line segment of 4.5 cm length.

2. Construction of Perpendicular Lines by Using a Protractor, Set-square

Aug 14, 24 02:39 AM

Construction of perpendicular lines by using a protractor is discussed here. To construct a perpendicular to a given line l at a given point A on it, we need to follow the given procedure

3. Construction of a Circle | Working Rules | Step-by-step Explanation |

Aug 13, 24 01:27 AM

Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

4. Practical Geometry | Ruler | Set-Squares | Protractor |Compass|Divider

Aug 12, 24 03:20 PM

In practical geometry, we study geometrical constructions. The word 'construction' in geometry is used for drawing a correct and accurate figure from the given measurements. In this chapter, we shall…

5. Worksheet on Word Problems on Fractions | Fraction Word Problems | Ans

Aug 12, 24 02:23 AM

In worksheet on word problems on fractions we will solve different types of word problems on multiplication of fractions, word problems on division of fractions etc... 1. How many one-fifths