What is the cube root of (2^6 \times 3^3)?
Answer and explanation
Correct answer: (2^2 \times 3)
Step 1: In a cube root, divide prime exponents by (3). Step 2: (2^6) becomes (2^2) and (3^3) becomes (3). Step 3: In cube roots, bases remain the same and only exponents change.
Frequently asked questions
What is the correct answer to this question?
(2^2 \times 3)
Why is this the correct answer?
Step 1: In a cube root, divide prime exponents by (3). Step 2: (2^6) becomes (2^2) and (3^3) becomes (3). Step 3: In cube roots, bases remain 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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