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If \(\left(x^{2}y^{3}\right)^{n}=x^{8}y^{12}\), what is the value of (n)?

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Answer and explanation

Correct answer: (4)

The left side has exponents (2n) and (3n), so \(2n=8\) and \(3n=12\), giving \(n=4\). In exams, match exponents of both variables.

Related tags

Exponent ComparisonMonomialsPolynomials

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

The left side has exponents (2n) and (3n), so \(2n=8\) and \(3n=12\), giving \(n=4\). In exams, match exponents of both variables.

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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