What is the correct expanded form of \((6\cdot7)^2\)?
Answer and explanation
Correct answer: \(6^2\cdot7^2\)
The law of the power of a product is \((ab)^n=a^n b^n\). Therefore, \((6\cdot7)^2=6^2\cdot7^2\), so option A is correct. In options B and C, the exponent is applied to only one factor, while option D represents a sum instead of a product. Exam tip: when a product is raised to a power, apply that power to every factor.
Frequently asked questions
What is the correct answer to this question?
\(6^2\cdot7^2\)
Why is this the correct answer?
The law of the power of a product is \((ab)^n=a^n b^n\). Therefore, \((6\cdot7)^2=6^2\cdot7^2\), so option A is correct. In options B and C, the exponent is applied to only one factor, while option D represents a sum instead of a product. Exam tip: when a product is raised to a power, apply that power to every factor.
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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