Simplify : [3 MARKS] 38×45×32×54×7539×44×75

Question

Simplify : [3 MARKS]

\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}

Answer:
:
Concept: 1 Mark
Steps: 1 Mark
Answer: 1 Mark
Given,

\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}

= \frac{3^{8 + 2} \times 4^{5} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}

[

∵ a^{m} \times a^{n} = a^{m + n}

]

= 3^{10 - 9} \times 4^{5 - 4} \times 5^{4} \times 7^{5 - 5}

[

∵ \frac{a^{m}}{a^{n}} = a^{m - n}

]

= 3^{1} \times 4^{1} \times 5^{4} \times 7^{0}

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

[

∵ a^{0} = 1

]

= 7500

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. Express 512×729 in exponential form:....

Question 2. 72×22 =___....

Question 3. In 104,10 is called the __ and 4 is called the exponent.....

Question 4. If abc = 1, then find the value of: 11+a+b−1+11+b+c−1+11+c+a−1 [4 MARKS]....

Question 5. Express 625 as a power of 5. [1 MARK]....

Question 6. A shopkeeper A has Rs 34265 in his counter and shopkeeper B has 432500 paise in his counter. Express the difference in r....the difference in rupees in standard form. [ 3 MARKS]

Question 7. The distance between two cities is 3245678 km. Convert it into meters and express in standard form. [2 MARKS]....

Question 8. Find the value of m and n, if 6−5×5−2×63×5m×6n=1. [4 MARKS]....

Question 9. The area of a certain number of triangles is equal to the sum of the exponents of the prime factors of the number 1628, ....triangles and find the number of the triangles. [4 MARKS]

Question 10. Express the given number in standard form: 21700000....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0