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Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 12

What is the cube root of (2^9 \times 3^3)?

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Answer and explanation

Correct answer: (2^3 \times 3)

Step 1: In a cube root, divide prime exponents by (3). Step 2: (2^9) becomes (2^3), and (3^3) becomes (3). Step 3: In cube roots, bases stay the same and only exponents change.

Tags

real-numberscube-rootprime-factorisation

Frequently asked questions

What is the correct answer to this question?

(2^3 \times 3)

Why is this the correct answer?

Step 1: In a cube root, divide prime exponents by (3). Step 2: (2^9) becomes (2^3), and (3^3) becomes (3). Step 3: In cube roots, bases stay the same and only exponents change.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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