Question

Is multiplying by 10
Powered by 3 the same as multiplying by 10 factors of 3? Explain.

Answer 1

Of course not, since multiplying by 10³ is multiplying by 10 times 10 times 10 and multiplying by 10 factors of 3 is multiplying by 3 times 3 times 3 times 3, for 10 times

Answer 2

Multiplying by 10 powered by 3 is NOT the same as multiplying by 10 factors of 3.

The value of the expression 10 powered to 3 is expressed as:

$10^3 = 10 \times 10 \times 10\\10^3 = 1000$

Multiplying by 10 factors of 3 means multiplying 3 in ten places as shown:

$3^10 = 3 * 3 * 3 * 3*3*3*3*3*3*3\\3^10=59049$

From the solution, we can see that multiplying by 10 powered by 3 is NOT the same as multiplying by 10 factors of 3.

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