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monitta
3 years ago
6

Simplify the expression.(1/4)^(-3/2)Please show how to do the problem.

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8
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I need help finding the answer to this question on edge.
Aliun [14]

Answer:

6

Step-by-step explanation:

We need to evaluate :-

\rm\implies \displaystyle\rm\sum^4_n   (-1)^n (3n + 2 )

Here the \Sigma is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,

\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2)

Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,

\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)

Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}

<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>6</u><u>.</u>

6 0
2 years ago
Is collecting pennies dependent or an independent events?
Strike441 [17]

Collecting pennies can either be a dependent or an independent events based on the scenario.

<h3>How to illustrate the information?</h3>

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail.

A coin toss is an illustration of an autonomous occurrence. With each toss of the coin, there is an equal probability (0.5) of either heads or tails occurring, presuming that the coin is fair and can only land on heads or tails. It doesn't matter if the coin came up heads on the prior toss.

In conclusion, collecting pennies can either be a dependent or an independent events based on the scenario.

Learn more about events on:

brainly.com/question/1374659

#SPJ1

8 0
1 year ago
A watch lost 1 minute 18 seconds in 39 days. How many seconds did it lose per day?
vlabodo [156]
ATO,
We should convert 1.18 minutes into seconds
1 minute = 60 seconds
60 + 18 seconds = 78 seconds
We should divide with the days
So,
78 seconds ÷ 39 days = 2 seconds per day.

So,it lose 2 seconds per day.

Please mark mine answer as Brainliest
Please click THANKS button
6 0
2 years ago
Solve the equation 3x = 9.5 Show and justify each step you take to solve the equation . 3x = 9 Write the equation 9 Divide each
zimovet [89]

Answer:

3x=9.5, you would divide 3 on each side to get x by itself, so (3x)/3=9.5/3, which would lead to be x=9.5/3 or x= 3 and 1/6th, 3 + 1/6

Step-by-step explanation:

4 0
2 years ago
Factor 6a^2+7ax-3x^2
Gala2k [10]
6a² + 7ax - 3x²
6a² + 9ax - 2ax - 3x²
3a(2a) + 3a(3x) - x(2a) - x(3x)
3a(2a + 3x) - x(2a + 3x)
(3a - x)(2a + 3x)
5 0
3 years ago
Read 2 more answers
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