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What is the simplified form of (4^2\cdot4^0\cdot4^3)?
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Answer and explanation
Correct answer: \(4^5\)
When powers with the same base are multiplied, their exponents are added: \(4^2\cdot4^0\cdot4^3=4^{2+0+3}=4^5\). Since \(4^0=1\), the zero exponent does not change the result. Exam tip: add exponents when multiplying powers with the same base.
Frequently asked questions
What is the correct answer to this question?
\(4^5\)
Why is this the correct answer?
When powers with the same base are multiplied, their exponents are added: \(4^2\cdot4^0\cdot4^3=4^{2+0+3}=4^5\). Since \(4^0=1\), the zero exponent does not change the result. Exam tip: add exponents when multiplying powers with the same base.
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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