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Zanzabum
3 years ago
7

Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

y^{-9}\neq \dfrac{1}{y^{-9}}

Step-by-step explanation:

Tyler simplified the expression: x^{-3}y^{-9}  as shown below:

x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{-9}}=\dfrac{1}{x^3y^{-9}}

We notice that in Tyler's work:

y^{-9}= \dfrac{1}{y^{-9}}

Whereas, the correct form would have been:

y^{-9}= \dfrac{1}{y^{9}}

Making our solution:

x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{9}}=\dfrac{1}{x^3y^{9}}

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I just need an explanation on why I was wrong and why the correct answer is correct
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Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

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_________________

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You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [-2x⁵ + x⁴ + 5x³ + 4x + 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to <em>subtract</em> or <em>add</em>, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that -2 in your quotient can be a -2x⁴, and the -3 [x³] follows right behind it, then 1 [-x²], -2[x], and finally, [1\x - 2] (remainder is 1, so set it over your denominator, which is the divisor), giving you the other factor of -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹.

I am joyous to assist you anytime.

**(x - 2)^{-1} =  \frac{1}{x - 2}

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To estimate the quotient 98.3 divides by 52.6 Brady used compatible numbers 100 dived by 5 =20. Is his estimate reasonable ? Exp
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98.3 divides by 52.6

Brady used compatible numbers 100 divided by 5 =20

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