Under a dilation, the point (3,5) is moved to (6,10) What is the scale factor of the dilation?
1 answer:
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Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
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Your expression can be simplified as follows:
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<em>Additional comment</em>
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
Consider division:
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).