What is the scale of a model of a molecule if the model is 3 inches wide and the width of the actual molecule is 1/6,000 of an i
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Answer:
4√2 × 4√8 = 64, an integer.
Step-by-step explanation:
a) 4√2 × 4√8
First let's remember that a square root can be rewritten as a 1/2 exponent,
Therefore the expression we have can be rewritten as
We are going to write all numbers in their prime factor expressions:
<u>*Note: Remember that when we multiply two numbers with the same base but different exponents we sum up the exponents*</u>
<u>*Also, when we elevate one exponent to another exponent, we multiply the exponents*</u>
Therefore, the expression 4√2 × 4√8 = 64 and therefore is an integer