What is the simplified form of \(7^2\cdot7^0\cdot7^4\)?
Answer and explanation
Correct answer: \(7^6\)
When powers with the same base are multiplied, their exponents are added: \(7^2\cdot7^0\cdot7^4=7^{2+0+4}=7^6\). Since \(7^0=1\), its exponent contributes 0 to the sum. Option B results from adding the exponents incorrectly. Exam tip: for multiplication of powers with the same base, keep the base unchanged and add the exponents.
Frequently asked questions
What is the correct answer to this question?
\(7^6\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(7^2\cdot7^0\cdot7^4=7^{2+0+4}=7^6\). Since \(7^0=1\), its exponent contributes 0 to the sum. Option B results from adding the exponents incorrectly. Exam tip: for multiplication of powers with the same base, keep the base unchanged and add the exponents.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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