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To solve the problem of finding , follow these steps:
Therefore, .
With the possible choices given, the correct answer corresponds to choice .
\( 11^2= \)
The small 3 is called an exponent. It tells you how many times to use 7 as a factor in multiplication. So .
That would give you 21, which is completely different! The exponent isn't telling you to multiply by 3. It's telling you to use 7 as a factor 3 times in a multiplication problem.
is a perfect cube - a special number worth memorizing! You can remember it by noticing the pattern: 3-4-3, which matches the exponent 3.
You probably calculated instead! That's . Always count your multiplication steps carefully to match the exponent.
For small exponents like 3, step-by-step is actually fastest and most reliable. As you practice, you'll memorize common cubes like , , and .
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