What is the value of (45^3)?
Answer and explanation
Correct answer: 91125
An exponent of 3 means that 45 is multiplied by itself three times: \(45^3=45\times45\times45\). First, \(45\times45=2025\), and then \(2025\times45=91125\). Therefore, the correct answer is 91125. Note that 2025 is the value of \(45^2\), not \(45^3\). Exam tip: To find a cube, first find the square and then multiply it by the original number.
Frequently asked questions
What is the correct answer to this question?
91125
Why is this the correct answer?
An exponent of 3 means that 45 is multiplied by itself three times: \(45^3=45\times45\times45\). First, \(45\times45=2025\), and then \(2025\times45=91125\). Therefore, the correct answer is 91125. Note that 2025 is the value of \(45^2\), not \(45^3\). Exam tip: To find a cube, first find the square and then multiply it by the original number.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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