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What is the value of (5^2 \times 5^2)?

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Answer and explanation

Correct answer: 625

When powers with the same base are multiplied, their exponents are added: \(5^2 \times 5^2 = 5^{2+2}=5^4=625\). Therefore, 625 is the correct answer. 25 is only the value of \(5^2\), while 3125 equals \(5^5\). Exam tip: for multiplication of the same base, add the exponents.

Related tags

ExponentsLaws Of ExponentsNumber SystemsPowersSame Base Multiplication

Frequently asked questions

What is the correct answer to this question?

625

Why is this the correct answer?

When powers with the same base are multiplied, their exponents are added: \(5^2 \times 5^2 = 5^{2+2}=5^4=625\). Therefore, 625 is the correct answer. 25 is only the value of \(5^2\), while 3125 equals \(5^5\). Exam tip: for multiplication of the same base, add 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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