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Class 10MathematicsPolynomialsOperations on real numbers and the laws of exponentsEasyLevel 43
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What is the simplified form of \(\frac{8^4}{4^4}\)?

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Answer and explanation

Correct answer: \(2^4\)

With equal exponents, \(\frac{8^4}{4^4}=\left(\frac{8}{4}\right)^4=2^4\). Handling equal powers together is easier.

Related tags

PolynomialsExponentsQuotient Same Power

Frequently asked questions

What is the correct answer to this question?

\(2^4\)

Why is this the correct answer?

With equal exponents, \(\frac{8^4}{4^4}=\left(\frac{8}{4}\right)^4=2^4\). Handling equal powers together is easier.

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 is the simplified form of √128?
  2. 2If α = √3 + 1 and β = √3 − 1, what is αβ?
  3. 3Which option gives the correct value of 1/(√10 − 3)?
  4. 4What is the value of (2^3\cdot2^4)?
  5. 5What is the simplified form of (\frac{5^6}{5^2})?
  6. 6What is the simplified form of ((3^2)^4)?
  7. 7If \(a\ne0\), what is the value of \(a^0\)?
  8. 8What is (10^{-2}) equal to?
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  10. 10What is the value of \(\left(\frac{3}{4}\right)^2\)?
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