What is the value of ((5^2)^2)?
Answer and explanation
Correct answer: 625
Using the rule \\((a^m)^n=a^{mn}\\), \\((5^2)^2=5^{2\times2}=5^4=625\\). Therefore, 625 is correct. The value 25 is only \\(5^2\\), before applying the outer exponent 2. Exam tip: when a power is raised to another power, multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
625
Why is this the correct answer?
Using the rule \\((a^m)^n=a^{mn}\\), \\((5^2)^2=5^{2\times2}=5^4=625\\). Therefore, 625 is correct. The value 25 is only \\(5^2\\), before applying the outer exponent 2. Exam tip: when a power is raised to another power, multiply the exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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