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Inga [223]
1 year ago
14

Laws of Exponents

Mathematics
1 answer:
Aleks04 [339]1 year ago
4 0

Answer:

a = 10 and b = 6

Step-by-step explanation:

I am having a little trouble reading the numbers, but I think that I see

\frac{7^{2} 7^{8} }{7^{4} }

If we wrote this in expanded form, it would look like:

\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}  How many 7s are on the top?  10  That is the answer to a.  The product of powers principle tells us that if we are multiplying powers with the same bases we add the exponents 2 + 8 = 10

\frac{^{10} }{7^{4} }

Now it looks like

\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}  if we cross the 7's out in the top and the bottom, we are left with 6 7's on the top.  That is the answer to b.

The quotient of powers principle tells us that if we are dividing powers with the same bases, we can subtract the exponents (10 -4 = 6)

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The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the
Setler79 [48]

Answer:  width = 300

<u>Step-by-step explanation:</u>

Area (A) = Length (L) x width (w)

Given: A = 268,500

           L = 3w - 5

           w = w

268,500 = (3w - 5) x (w)

268,500 = 3w² - 5w

            0 = 3w² - 5w - 268,500

            0 = (3w + 895) (w - 300)

   0 = 3w + 895        0 = w - 300

  -985/3 = w             300 = w

Since width cannot be negative, disregard w = -985/3

So the only valid answer is: w = 300

   

8 0
3 years ago
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible n
exis [7]
8 hours for the possible numbers of house
5 0
3 years ago
— 7x — бу = — 15 Determine the intercepts of the line.
____ [38]

Answer:

see below

Step-by-step explanation:

— 7x — бу = — 15

To find the x intercept set y = 0 and solve for x

-7x - 0 = -15

-7x= -15

Divide by -7

-7x/-7 = -15/-7

x = 15/7

The x intercept is (15/7,0)

To find the y intercept set x = 0 and solve for y

o— бу = — 15

— бу= -15

Divide by -6

— бу/-6= -15/-6

у= 5/2

The y intercept is (0,5/2)

8 0
3 years ago
Sooo Help please I'm Not smart lol&lt;33
Oksana_A [137]
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3 0
2 years ago
Read 2 more answers
If x equals a real number, x^0 equals what?
Stels [109]

Hey there!

x^0

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

x^0=1

Hope this helps!

AT2309

8 0
3 years ago
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