Worksheet on Powers of Literal Numbers | Math Powers of Literal Numbers Worksheet with Answers

(i) Given c × c × c × c × c
Here c has written as 5 times.
It can be written as an exponent of 5.
c × c × c × c × c=c⁵
(ii) Given 5 × c × b × z × z × z
Here 5 is written ‘1’ time.
c has written ‘1’ time.
b has written ‘1’ time.
z has written 3 times.
5 × c × b × z × z × z=5cbz³
(iii) m × 12 × n × b × z
Here m is written ‘1’ time.
12 has written ‘1’ time.
n,b, and Z are written 1 time.
m × 12 × n × b × z=12mnbz

(iv) m× n × p × q × n × 55
Here m is written ‘1’ time.
n has written 2 times.
p,q,55 are written 1 time.
m× n × p × q × n × 55 =55pqmn²
(v) 230 × b × c × c × b
Here 230 is written ‘1’time.
b has written 2 times.
c has written 2 times.
230 × b × c × c × b= 230b²c²

(vi) m × m × n × n × n × 280
Here m is written 2 times.
n has written 3 times.
280 has written ‘1’ time.
m × m × n × n × n × 280=280m²n³

(i) y³z²
y³ is written in expanded form as y × y × y.
z² is written in expanded form as z × z.
y³z²= y × y × y × z × z.
(ii) p²q³r⁵
p² is written in expanded form as p × p.
q³ is written in expanded form as q × q × q.
r⁵ is written in expanded form as r × r × r × r × r.
p²q³r⁵= p × p × q × q × q × r × r × r × r × r.
(iii) 5khb²
b² is written in expanded form as b × b.
5,h,k is written only once.
5khb²= 5 × k ×h × b × b.
(iv) 18c³d⁴h⁵
c³ is written in expanded form as c × c × c.
d⁴ is written in expanded form as d × d × d × d.
h⁵ is written in expanded form as h × h × h × h × h.
18c³d⁴h⁵=18 × c × c × c × d × d × d × d × h × h × h × h × h.
(v) 25ab²cd³
25, a, c are written once.
b² is written in expanded form as b × b.
d³ is written in expanded form as d × d × d.
25ab²cd³=25 × a × b × b × c × d × d × d.

(i) Given 3p²q⁴r
p²=p × p
q⁴=q × q × q × q
3p²q⁴r is written in product form as 3 × p × p × q × q × q × q × r.

(ii) Given 73b⁴c²z³
b⁴= b × b × b × b
c²= c × c
z³= z × z × z
73b⁴c²z³ is written in product form as 73 × b × b × b × b × c × c × z × z × z.
(iii) Given a⁴b³c²
a⁴= a × a × a × a
b³= b × b × b
c² = c × c
a⁴b³c² is written in product form as a × a × a × a × b × b × b × c × c
(iv)Given 7p²q³r⁴
p²= p × p
q³= q × q × q
r⁴= r × r × r × r
7p²q³r⁴ is written in product form as 7 × p × p × q × q × q × r × r × r × r.
(v) Given 17ac²dy³
c²= c × c
y³= y × y × y
17ac²dy³=17 × a × c × c × d × y × y × y.

(i) Given p × p × p × p x a × a × b × b × b
Here P is written 4 times. It can be written as an exponent of 4.
p × p × p × p=p⁴
a was written 2 times. It can be written as an exponent of 2.
a × a=a²
b was written 3 times. It can be written as an exponent of 3.
b × b × b=b³
p × p × p × p x a × a × b × b × b in exponential form is p⁴a²b³.
(ii) Given 10 × a × a × b × b × b × c
Here a is written 2 times. It can be written as an exponent of 2.
a × a=a²
b was written 3 times. It can be written as an exponent of 3.
b × b × b=b³
10 × a × a × b × b × b × c=10a²b³c.
(iii) Given c × c × c × c × ..… 8 times d × d × d × d × ..… 8 times.
c was written 8 times. It can be written as an exponent of 8.
c × c × c × c × ..… 8 times=c⁸
d was written 8 times. It can be written as an exponent of 8.
d × d × d × d × ..… 8 times=d⁸
c × c × c × c × ..… 8 times d × d × d × d × ..… 8 times=c⁸d⁸.
(iv) Given a × a × a × ..… 10 times b × b × b × ..… 7 times c × c × c × ..… 14 times.
a was written 10 times. It can be written as an exponent of 10.
a × a × a × ..… 10 times=a¹⁰.
b was written 7 times. It can be written as an exponent of 7.
b × b × b × ..… 7 times=b⁷.
c was written 14 times. It can be written as an exponent of 14.
a × a × a × ..… 10 times b × b × b × ..… 7 times c × c × c × ..… 14 times=a¹⁰b⁷c14.
(v) Given 5 × a × a × a ×…6 times b × b × b
a was written 6 times. It can be written as an exponent of 6.
a × a × a ×…6 times=a⁶
b was written 3 times. It can be written as an exponent of 3.
b × b × b=b³
5 × a × a × a ×…6 times b × b × b=5a⁶b³

(i) true
(ii) false
(iii) false
(iv) true
(v) true
(vi) true
(vii) true