Multiple choice

Find the approximate value of $2^{3.02}$

  1. $8$
  2. $7$
  3. $9$
  4. $4$
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A Correct answer
Explanation

2^3 = 8. Since 3.02 is very close to 3, 2^3.02 will be slightly larger than 8. Among the choices, 8 is the closest approximate value.

AI explanation

Rewrite the expression using the product of powers property to separate the integer and decimal parts, giving 2 cubed multiplied by 2 raised to the power of 0.02. Because 2 raised to the power of 0.02 is extremely close to 1, the value is approximately 8 multiplied by 1, which equals 8.

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