Class 9 Exam > Class 9 Questions > Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/...
Start Learning for Free
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?
Most Upvoted Answer
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?
Simplifying the Given Expression
To simplify the given expression, we need to use the properties of exponents and simplify each term separately.
Simplifying (125)^(2/3)
We know that (a^n)^m = a^(n*m). Therefore, (125)^(2/3) = (5^3)^(2/3) = 5^(3*2/3) = 5^2 = 25.
Simplifying √25×5^0×(1/225)^((-1)/2)
We know that a^0 = 1 for any non-zero value of a. Therefore, 5^0 = 1.
We also know that (a^m)^n = a^(m*n) and (a*b)^n = a^n * b^n. Therefore, √25×5^0×(1/225)^((-1)/2) = 5^(1/2) * (1/225)^((-1)/2) = 5^(1/2) * 15 = 75^(1/2).
Final Answer
Now, we have simplified both terms of the given expression. Therefore, the final answer is:
〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2) = 25 - 75^(1/2).
To simplify the given expression, we need to use the properties of exponents and simplify each term separately.
Simplifying (125)^(2/3)
We know that (a^n)^m = a^(n*m). Therefore, (125)^(2/3) = (5^3)^(2/3) = 5^(3*2/3) = 5^2 = 25.
Simplifying √25×5^0×(1/225)^((-1)/2)
We know that a^0 = 1 for any non-zero value of a. Therefore, 5^0 = 1.
We also know that (a^m)^n = a^(m*n) and (a*b)^n = a^n * b^n. Therefore, √25×5^0×(1/225)^((-1)/2) = 5^(1/2) * (1/225)^((-1)/2) = 5^(1/2) * 15 = 75^(1/2).
Final Answer
Now, we have simplified both terms of the given expression. Therefore, the final answer is:
〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2) = 25 - 75^(1/2).
Community Answer
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?
23.7090055513
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?
Question Description
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?.
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?.
Solutions for Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? defined & explained in the simplest way possible. Besides giving the explanation of
Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?, a detailed solution for Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? has been provided alongside types of Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? theory, EduRev gives you an
ample number of questions to practice Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup