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ValentinkaMS [17]
2 years ago
5

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

Mathematics
2 answers:
iren2701 [21]2 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]2 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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8x2 − 5 + 7x4 − 9x − x5
Veseljchak [2.6K]

Answer:

=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

Step-by-step explanation:

Factor out comon Term -1

=-\left(x^5-7x^4-8x^2+9x+5\right)

Factor x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

x^5-7x^4-8x^2+9x+5

Use the rational root theorem

a_0=5,\:\quad a_n=1

The dividers of a_{0}: 1, 5, The dividers of a_n: 1

Therefore, check the following rational numbers: ±\frac{1,\:5}{1}

\frac{1}{1} is a root of the expression, so factor out x-1

=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}

\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5

=x^4-6x^3-6x^2-14x-5

=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)

8 0
3 years ago
8^-3x^7y^-11/5x^-19y^17z^-14. Simplify
bazaltina [42]
Y^2/2560x^12z^14........................................

7 0
3 years ago
A store is having a sale when everything is 20% off. Before the sale, the store had 100 pairs of flipflops in stock. After selli
Jobisdone [24]

Answer: do you still need help comment ok

Step-by-step explanation:

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2 years ago
An apartment complex generates $335,000 in effective rental income and $2,500 in other income. The same complex has $144,000 in
Slav-nsk [51]

Answer:

B) $ 77,500

Step-by-step explanation:

The company's pre-tax cash flow = total income - operating expenses - cost of servicing debt = 335 000 + 2500 - 144 000 - 116 000 = $ 77,500

4 0
3 years ago
One number exceeds another number by 11. The sum of the numbers 77. What are the numbers?
monitta
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77

Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
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Now substitute b back into the initial equation for a
a = (33) + 11
a = 44

Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
7 0
1 year ago
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