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labwork [276]
2 years ago
12

Plz answer its easy math.

Mathematics
2 answers:
Basile [38]2 years ago
5 0

\text{Use}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\-----------------------\\\\\dfrac{3^{-8}}{3^{-4}}=3^{-8-(-4)}=3^{-8+4}=\underbrace{\boxed{3^{-4}}}_{\boxed{B.}}=\underbrace{\boxed{\dfrac{1}{3^4}}}_{\boxed{E.}}\\\\Answer:\ \boxed{B.\ and\ E.}

Serga [27]2 years ago
3 0
<h2>Greetings!</h2>

Answer:

B and E

Step-by-step explanation:

The rules of indicies states:

x^{a} ÷x^{b} = x^{a-b}

So 3^{-8} ÷  3^{-4} =  3^{-8 - - 4} =  3^{-4}

So that means B is one of the correct answers.

To find the other correct value, you can divide the two fractions as stated in the question:

3^{-8} by 3^{-4} = \frac{1}{81}

81 is equivalent to 3⁴

So that means E is also correct.


<h2>Hope this helps!</h2>
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it takes Joey 1/16 of an hour to write one Thank you card how many cards can he write in 3/4 of an hour?
bearhunter [10]

To solve this problem you will need to use the cross product method:

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3 0
3 years ago
Read 2 more answers
PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
2 years ago
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