Question

.Express the following in exponential form:
(i) 5 × 5 × 5 × 5 × 5
(ii) 4 × 4 × 4 × 5 × 5 × 5
(iii) (-1) × (-1) × (-1) × (-1) × (-1)
(iv) a × a × a × b × c × c × c × d × d

Answer 1

Answer:

1)5^5

2)4^3×5^3

3)(-1)^5

4)a^3×c^3×d^2×b

Answer 2

SOLUTION

TO DETERMINE

Express the following in exponential form:

(i) 5 × 5 × 5 × 5 × 5

(ii) 4 × 4 × 4 × 5 × 5 × 5

(iii) (-1) × (-1) × (-1) × (-1) × (-1)

(iv) a × a × a × b × c × c × c × d × d

EVALUATION

(i) Given expression

= 5 × 5 × 5 × 5 × 5

Numbers of 5's = 5

Thus we have

Given expression

$\sf = {5}^{5}$

(ii) Given expression

= 4 × 4 × 4 × 5 × 5 × 5

Number of 4's = 3

Numbers of 5's = 3

Thus we have

Given expression

$\sf = {4}^{3} \times {5}^{3}$

(iii) Given expression

= (-1) × (-1) × (-1) × (-1) × (-1)

Numbers of (-1)'s = 5

Thus we have

Given expression

$\sf = {( - 1)}^{5}$

(iv) Given expression

= a × a × a × b × c × c × c × d × d

Numbers of a's = 3

Numbers of b's = 1

Numbers of c's = 3

Numbers of d's = 2

Thus we have

Given expression

$\sf = {a}^{3} \times {b}^{1} \times {c}^{3} \times {d}^{2}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

https://brainly.in/question/47883149

2. Using law of exponents, simplify (5²)³÷5³

https://brainly.in/question/36250730