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Subjects
Class 9MathematicsNumber SystemsExponentsExpertLevel 4
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What is the value of ((6^2)^2\div6^3)?

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Answer and explanation

Correct answer: 6

Using the power-of-a-power rule,
. Therefore,
and
. Hence, the value of
is 6. Exam tip: when powers with the same base are divided, subtract their exponents.

Related tags

ExponentsNumber SystemsPower LawsIndicesGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

Using the power-of-a-power rule,
. Therefore,
and
. Hence, the value of
is 6. Exam tip: when powers with the same base are divided, subtract their exponents.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.

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  6. 6If (x=\sqrt{2}), what is (x^2)?
  7. 7What is the value of (2^3)?
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