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Aleks04 [339]
3 years ago
8

I have been stuck on number 10 (this problem) for a while now. Can anyone help me with it and walk me through every step in orde

r to get a correct answer for the math problem in the picture? Thanks!! I’ll be giving away as many points as I can for a response! It must follow the criteria listed above though. Help and steps.

Mathematics
2 answers:
Serga [27]3 years ago
6 0

You know that a number divided by itself is 1, so this is

\dfrac{7^{-1}\times 7^{-7}}{7^{-7}}=7^{-1}\times\left(\dfrac{7^{-7}}{7^{-7}}\right)\\\\=7^{-1}\times 1=7^{-1}=\bf{\dfrac{1}{7}}

Something to a negative power is the reciprocal of that thing to the opposite positive power.

kotykmax [81]3 years ago
5 0
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)

When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)

So your answer would be 7^(-1).
Hopefully my explanation was clear?
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3 years ago
5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

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Use (2) and (3) to solve for x and y

Multiply (2) by 2

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Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

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2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

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5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

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3 years ago
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10.<

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2 years ago
In which line did the student make the first mistake?
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3 years ago
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