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ValentinkaMS [17]
3 years ago
5

Describe how to simplify the expression 3^-6/3^-4

Mathematics
2 answers:
iren2701 [21]3 years ago
7 0

Answer:

the simplified expression is 1/9

Step-by-step explanation:

The given expression is \frac{3^{-6}}{3^{-4}}

We can apply the exponent law: \frac{x^a}{x^b}=a^{a-b}

Applying this law, we get

\frac{3^{-6}}{3^{-4}}\\\\=3^{-6+4}\\\\=3^{-2}

Now, apply the exponent rule:x^{-a}=\frac{1}{x^a}

3^{-2}=\frac{1}{3^2}\\\\=\frac{1}{9}

Hence, the simplified expression is 1/9

igomit [66]3 years ago
4 0
(7-4)=3 
<span>(8-5)=3 </span>
<span>now we have </span>
<span>2*3+6 / 3+3 </span>
<span>2*3 is 6 </span>
<span>now we have </span>
<span>6+6/3+3 </span>
12/6
<span>2</span>
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Answer:

First solve for x

then substitute

Step-by-step explanation:

\frac{x+3}{3}= \frac{y+2}{2}

6(\frac{x+3}{3}=\frac{y+2}{2})

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2x = 3y

x = \frac{3y}{2}

If \frac{x+3}{3}= \frac{y+2}{2} then \frac{x}{3} =

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Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.

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z* = Critical value.

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

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We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)

∴ a 99 percent confidence interval for µ, the true mean age of guests  = (30.49 years, 42.31 years)

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