Simplify 11 to the power of negative 4 over 11 to the power of 8

1 answer:

AlekseyPX2 years ago

7 0

Answer:

1. 1 over 11 to the power of 12

Step-by-step explanation:

$\huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\ \\ \huge = \frac{ 1}{ {(11)}^{8 + 4} } \\ \\\huge = \frac{ 1}{ {(11)}^{12} }$

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8 0

3 years ago

liq [111]

Answer:

$x=\frac{10}{3}$ and $y=\frac{1}{2}$

Step-by-step explanation:

To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒ $x=\frac{11}{3}+\frac{2}{3} \times{y}$ .
Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow

$x-2=4y$ ⇒ $(\frac{11}{3}+\frac{2}{3}\times{y})-2=4\times{y}$
Then rearranging terms $\frac{11}{3}-2=4\times{y}-\frac{2}{3}\times{y}$
This expression results in $y=\frac{1}{2}$
Finally, using the firs equation, in which we obtained an expression from x, $x=\frac{11}{3}-\frac{2}{3} \times{y}$ , we replace y=1/2 and get $x=\frac{11}{3}- \frac{2}{3}\times{\frac{1}{2} }$ , then $x=\frac{10}{3}$