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Subjects
Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsHardLevel 44
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What is the value of (\dfrac{6^4}{2^4 \times 3^2})?

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Answer and explanation

Correct answer: (,9,)

Since (6^4=(2\times 3)^4=2^4\times 3^4), the value is (3^2=9). In exams, write a composite base in prime factors.

Related tags

PolynomialsExponentsPrime-FactorisationReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(,9,)

Why is this the correct answer?

Since (6^4=(2\times 3)^4=2^4\times 3^4), the value is (3^2=9). In exams, write a composite base in prime factors.

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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  1. 1Which option gives the correct value of 1/(√10 − 3)?
  2. 2What is the value of (2^3\cdot2^4)?
  3. 3What is the simplified form of (\frac{5^6}{5^2})?
  4. 4What is the simplified form of ((3^2)^4)?
  5. 5If \(a\ne0\), what is the value of \(a^0\)?
  6. 6What is (10^{-2}) equal to?
  7. 7What is the simplified form of ((2\cdot5)^3)?
  8. 8What is the value of \(\left(\frac{3}{4}\right)^2\)?
  9. 9Which of the following expressions is equal to \(7^2\cdot 7^3\)?
  10. 10What is the simplified form of (9^5\div9^3)?
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