SOLUTION: The expression: x^2 (1/9x^3) (63x^-11) equals c/x^e where the coefficient c is ___? and the exponent e is ___ ?
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Question 392998: The expression: x^2 (1/9x^3) (63x^-11) equals c/x^e where the coefficient c is ___? and the exponent e is ___ ?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
First we will simplify the expression. Then we will put it in the form.
To multiply we will start by making everything a fraction:
When we multiply the numerators we will use the rule for exponents when we multiply the x's: Add the exponents:
which simplifies to:
63/9 = 7 and to divide the x's we use the rule for exponents when you divde: Subtract the exponents:
or
The expression is now simplified. To put it in form we will use a property of negative exponents:
which simplifies to
We can now see that c = 7 and e = 12.
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