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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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Step-by-step explanation:

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Hi! I just need somebody to explain how this is done.
iren2701 [21]

Answer:

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = \frac{opposite}{hypotenuse}

∴ sin∠B = \frac{AC}{AB}

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = \frac{10.8}{x}

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

∴ x = \frac{10.8}{sin(57)}

∴ x = 12.87752356

→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

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3 years ago
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Let's allow x to equal our first number.

Let's allow x + 2 to equal our 2nd number.

Let's allow x + 4 to equal our 3rd number.

When we add those together, their sum need to equal 50 more than the largest integer (our x + 4)

Let's set it up!

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