What are expressed powers and implied powers? Give an example of each.
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Answer

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Step 1
I'll solve this problem step by step, focusing on explaining expressed and implied powers clearly:

Step 2
: Understanding Expressed Powers

23=2×2×2=82^{3} = 2 \times 2 \times 2 = 8
Expressed powers are exponents that are explicitly written out in a number's notation. In an expressed power, the exponent is directly shown. Example of an Expressed Power: Here, the power of 3 is directly written as an exponent, making it an expressed power.

Final Answer

- Expressed Power:
232^{3}
(exponent is explicitly written) - Implied Power:
2×2×22 \times 2 \times 2
(exponent is understood but not written) Both represent the same mathematical operation of multiplying 2 three times to get 8.

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