Simplify: what is the value of (\dfrac{3^4 \times 9^{-1}}{27^{-1}})?

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Answer and explanation

Correct answer: (,243,)

Here (9^{-1}=3^{-2}) and (27^{-1}=3^{-3}), so the value is (3^{4-2-(-3)}=3^5=243). In exams, convert all terms to the same base.

What is the correct answer to this question?

(,243,)

Why is this the correct answer?

Here (9^{-1}=3^{-2}) and (27^{-1}=3^{-3}), so the value is (3^{4-2-(-3)}=3^5=243). In exams, convert all terms to 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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