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2 years ago

Simplify the expression. Write answer using only positive exponents. (1/3a^3)^-4

Mathematics

2 answers:

Fantom [35]2 years ago

8 0

Answer:

81/a^16

Step-by-step explanation:

(1/3a^3)^-4

1/3^-4a^-16

3^4 x 1/a^16

81/a^16

Artemon [7]2 years ago

3 0

Answer:

81/a^12

Step-by-step explanation:

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Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer

solong [7]

<h3>Answer: No it is not a solution </h3>

Here is why:

The ordered pair (2,-3) means x = 2 and y = -3 pair up together

Let's plug these x and y values into the equation to get...

y = 4x - 5

-3 = 4*2 - 5 .... replace with 2, replace y with -3

-3 = 8 - 5

-3 = 3 .... we end up with a false equation

Since we get a false equation at the end, this means the original equation is false too. So y = 4x-5 is false when (x,y) = (2,-3) meaning that this point is not on the line. So this point is not a solution.

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Step-by-step explanation:

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2 years ago

Is (x-3) a factor of (x^3-3x^2+2x+2)

luda_lava [24]

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3 years ago

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A room is 12 m long and 8 m wide and 10 m high, find the area of the room.

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3 years ago

Create three geometric sequences of your own (including one that is decreasing). Extend your sequences to include five terms. Th

Karo-lina-s [1.5K]

Answer:

a) $a_n=5\,\,(2)^{n-1}$

b) $b_n=100\,\,(\frac{1}{2} )^{n-1}$

c) $c_n=160\,\,(-\frac{1}{2} )^{n-1}$

Step-by-step explanation:

a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

$a_n=5\,\,(2)^{n-1}$

The first five terms are: $a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80$

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

$b_n=100\,\,(\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25$

c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

$c_n=160\,\,(-\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10$

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3 years ago