Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
88 views
in Aptitude by (111k points)
closed by
The value of \(\frac{{{{\left( {243} \right)}^{0.13}} \times {{\left( {243} \right)}^{0.07}}}}{{{{\left( 7 \right)}^{0.25}} \times {{\left( {49} \right)}^{0.075}} \times {{\left( {343} \right)}^{0.2}}}}\) is
1. \(\frac{3}{7}\)
2. \(\frac{7}{3}\)
3. 1\(\frac{3}{7}\)
4. 2\(\frac{2}{7}\)

1 Answer

0 votes
by (105k points)
selected by
 
Best answer
Correct Answer - Option 1 : \(\frac{3}{7}\)

Concept used:

am × an = a(m + n)

Calculation:

⇒ \(\frac{{{{\left( {243} \right)}^{0.13}} × {{\left( {243} \right)}^{0.07}}}}{{{{\left( 7 \right)}^{0.25}} × {{\left( {49} \right)}^{0.075}} × {{\left( {343} \right)}^{0.2}}}}\)

⇒ [(3)5 × 0.13 × (3)5 × 0.07]/[(7)0.25 × (7)2 × 0.075 × (7)3 × 0.2]

⇒ [(3)0.65 × (3)0.35]/[(7)0.25 × (7)0.15 × (7)0.6]

Using law of indices:

⇒ am × an = a(m + n)

⇒ ? = 31/71

∴ ? = 3/7

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...