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Whitepunk [10]
3 years ago
11

Simplify 2 to the 5th over 3 squared all raised to the 4th power.

Mathematics
1 answer:
Elden [556K]3 years ago
3 0
2^5 over 3^2 all to the ^4

2x2x2x2x2=32
3x3=9
32/9^4
32x32x32x32=1048576
9x9x9x9=6561 so in conclusion your answer is 1048576/6561. Hope this helped!
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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
What’s 16.0+8.49 <br> By showing work?
natka813 [3]

Answer:

24.49

Step-by-step explanation:

16.00

8.49

____

24.49

6 0
3 years ago
The graph shows two lines, A and B.
Papessa [141]
Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)
8 0
3 years ago
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
sleet_krkn [62]

Answer:

k = 21

Step-by-step explanation:

xy = k\\\\Plugging\: x = 7\: and\: y = 3,\: we\; find:\\7\times 3 = k\\21 = k\\\huge\red{\boxed{k = 21}}\\

6 0
3 years ago
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
STatiana [176]
The answer to this question is  4v+8
12v+3-6v-9=2v-14+w
12v+3-6v-9-2v+14=w
12v-6v-2v+14-9+3=w
6v-2v+5+3=w
4v+8=w
3 0
4 years ago
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