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Inga [223]
2 years ago
14

Laws of Exponents

Mathematics
1 answer:
Aleks04 [339]2 years 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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Please help! I’m very confused on this question. I’m not very good at geometry.
Ahat [919]

Well, to find the perimeter we have to add all of the side lengths, so let's do that:

2x+3 +2x+3 +2x

And we know that this equals 36 so let's solve for x

2x+3+2x+3+2x = 36

6x+6 = 36

6x = 30

x = 5

So we know know that x = 5.

Now all you have to do is plug in the values of x into the lengths

2(5) + 3

= 10+3

= 13 is the length of two of the sides.

2x

= 2(5)

= 10

And 10 is the length of the last side.


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Answer:

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