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Musya8 [376]
3 years ago
7

Which is equivalent to x^3 y^-7

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

For this case we must find an expression equivalent to:

x ^ 3 * y ^ {- 7}

By definition of power properties we have to meet:

a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, we can rewrite the expression as:

x ^ 3 * \frac {1} {y ^ 7} =\\\frac {x ^ 3} {y ^ 7}

Answer:

\frac {x ^ 3} {y ^ 7}

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What value of t is the solution of the above equation?
mel-nik [20]

Answer:

15/4, or 3 3/4 is your answer.

Step-by-step explanation:

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Multiply 3/2 to both sides.

(3/2)(2/3)t = (5/2)(3/2)

t = (5/2)(3/2)

t = 15/4

15/4, or 3 3/4 is your answer.

~

7 0
4 years ago
Find a8 in the arithmetic sequence with a1=-7 and d=0.5
gavmur [86]
\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-7\\
d=0.5\\
n=8
\end{cases}
\\\\\\
a_8=a_1+(8-1)d\implies a_8=-7+(8-1)(0.5)

and surely you know how much that is.
3 0
4 years ago
Find the range of the function.<br> f(x) = -5x^2 + 9
lutik1710 [3]

Answer: B {x:x<=9

Step-by-step explanation:

7 0
3 years ago
The diagram shows a solid metal cuboid.
Elodia [21]
Someone told me if I answer a question I can watch videos to unlock my answer sorry
3 0
3 years ago
Show ur work will give braniest
Andrews [41]
I think this is a trick question. That’s because 5.61 is the width, 2.3 is the thickness, and 13.672 is the length. If they are cutting it into 3 strips, wouldn’t you just multiply 13.672 by 3 to get 41.016? That would be the total length right?
8 0
3 years ago
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