How do you express 4 to the power of 3?

Prepare for the HSC Mathematics Standard 2 Exam. Practice with multiple choice questions and flashcards, with explanations and tips provided for study success. Ace your exams with confidence!

Multiple Choice

How do you express 4 to the power of 3?

Explanation:
To express 4 to the power of 3, you need to understand what an exponent represents. The notation \(4^3\) means that you multiply 4 by itself three times. This can be visually calculated as: \[ 4^3 = 4 \times 4 \times 4 \] First, calculate \(4 \times 4\): \[ 4 \times 4 = 16 \] Then, take that result and multiply it by 4 again: \[ 16 \times 4 = 64 \] Thus, \(4^3\) equals 64, confirming that the correct answer is indeed 64. This demonstrates the correct usage of exponents in mathematical calculations, emphasizing the importance of understanding how to apply them to compute powers accurately.

To express 4 to the power of 3, you need to understand what an exponent represents. The notation (4^3) means that you multiply 4 by itself three times. This can be visually calculated as:

[ 4^3 = 4 \times 4 \times 4 ]

First, calculate (4 \times 4):

[ 4 \times 4 = 16 ]

Then, take that result and multiply it by 4 again:

[ 16 \times 4 = 64 ]

Thus, (4^3) equals 64, confirming that the correct answer is indeed 64. This demonstrates the correct usage of exponents in mathematical calculations, emphasizing the importance of understanding how to apply them to compute powers accurately.

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