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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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The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

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The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

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Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

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