How do you express 4 to the power of 3?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

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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