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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
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Simplify 〖(125)〗^(2/3)-√25×5^0×(1/225)^((-1)/2)?
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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)?.
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