What is the value of (7^5 \div 7^5)?
Answer and explanation
Correct answer: 1
When powers with the same base are divided, subtract their exponents: \(7^5 \div 7^5 = 7^{5-5} = 7^0 = 1\). Therefore, the correct answer is 1. The base 7 is not the result, and 0 is incorrect because any non-zero number raised to the power 0 equals 1. Exam tip: Use \(a^m \div a^m = a^0 = 1\), provided \(a \ne 0\).
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
When powers with the same base are divided, subtract their exponents: \(7^5 \div 7^5 = 7^{5-5} = 7^0 = 1\). Therefore, the correct answer is 1. The base 7 is not the result, and 0 is incorrect because any non-zero number raised to the power 0 equals 1. Exam tip: Use \(a^m \div a^m = a^0 = 1\), provided \(a \ne 0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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