What is equivalent to (1/2)^-2t

Mathematics

2 answers:

oksano4ka [1.4K]3 years ago

7 0

Answer:

4^t

Step-by-step explanation:

Given expression is $(\frac{1}{2})^{-2t}$

To simplify this we apply exponential property

If we have negative exponent at the top then we flip the fraction

that is we take reciprocal of the base 1/2

so 1/2 becomes 2/1 = 2

The expression becomes $2^{2t}$

Now we simplify it further

2^2= 2*2= 4

$2^{2t}=4^t$

vodomira [7]3 years ago

4 0

$( \frac{1}{2} )^{-2t}=2^{2t}=4^t$

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The triangular arrangement of numbers shown is known as Pascal's triangle. Use inductive reasoning to find the 6 missing numbers

denis-greek [22]

Answer:

1 5 10 10 5 1

Step-by-step explanation:

The complete question has been attached as an image.

Looking at the triangle, we see a pattern. The first level we have 1, in the next level we have 1 1, the next evel we have 1 2 1, the next level we have 1 3 3 1 and so on. From here, we see that to get the numbers of the next level, we have to write 1 as the first number, then add 1 to the next number after it in the previous level to get the second number in the next level then add the second number of the previous level to the next number beside it to get the third number in the next level and so on until you get to the last number before 1 in the previous level, add that number to 1 to get the second to the last number in the next level and finally put 1 as the last number in the next level. Now, we have

1 4 6 4 1

1 5 10 10 5 1

And that is the required set of numbers.