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3 years ago

12 to the third over 12 to the seventh (12^3/12^7)? the answers are 12^4, 1/12^4, 1/12^-4, or 12^10

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

12^3 / 12^7

Cancel out the common factor:

Multiply the numerator by 1:

12^3 * 1 / 12^7

Factor 12^3 out of the denominator to get:

12^3 * 1 / 12^3 * 12^4

Now cancel the common factor to get:

1/12^4

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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o

lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)

y ----> the rate of the boat in still water (miles per hour)

we have that

going upstream

$y-x=\frac{150}{5}$

$y-x=30$ ----> equation A

going downstream

$y+x=\frac{150}{3}$

$y+x=50$ ----> equation B

Solve the system of equations by elimination

Adds equation A and equation B

$y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40$

Find the value of x

$y+x=50$

$40+x=50$

$x=10$

therefore

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

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melomori [17]

Answer:

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Step-by-step explanation:

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A student claims that 8^3 x 8^-5 is greater than 1. Explain whether the student is correct or not.

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a^-m=1/a^m

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