<h3>
Answer: 1</h3>
where x is nonzero
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Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
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The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
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After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
Answer:
(0,-7)
Step-by-step explanation:
In this question, we need to find an ordered pair of (x,y)
First we need to solve the equation for Y. It will be:
y-3=5(x-2)
y=5x-10 +3
y= 5x -7
Then, using the equation you can find the value of y using the value of x. If x= 0 the calculation will be
y= 5x-7
y= 5(0) - 7
y=-7
The ordered pair will be: (0,-7)
Answer: 1/4 or 0.25
Step-by-step explanation: We will solve log256 4 in several steps to solve for x.
Step 1: Log256 4 = x
Step 2: 256x = 4 ( Next, Use exponents )
Step 3: (2^8)x = 2^2
Step 4: 2^8x = 2^2
Step 5: 8x = 2 (Solve for x0
Step 6: 8x/8 = 2/8 = x = 1/4
Step 7 (The Answer) x, or log256 4 = 1/4 or 0.25
Answer:
Step-by-step explanation:
<em>Set the problem up as a proportion</em>
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<em>cross multiply</em>
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<em>divide both sides by 30</em>
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<em>plz mark me brainliest. :)</em>
Answer:
y = 6
x = 0.2
Step-by-step explanation:
5x + y =7
20x + 2 = y
5x(4) + y(4) = 7(4)
20x + 4y = 28
(20x = 28 - 4y) = (20x = y - 2)
28 - 4y = y - 2
30 - 4y = y
30 = 5y
y = 6
5x + y =7
20x + 2 = y
y = 7 - 5x
7 - 5x = 20x + 2
5 - 5x = 20x
5 = 25x
x = 0.2
