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Zolol [24]
3 years ago
5

Simplify 8^-7 x 8^5 please show work

Mathematics
1 answer:
Pie3 years ago
7 0

When you are multiplying exponents with the same base, you can add the exponents. This is represented as:

x^a \cdot x^b = x^{(a +b)}


In our case we are multiplying exponents with the same base 8 and exponents -7 and 5. The sum of -7 and 5 is -2, so our answer is \boxed{8^{-2}}.

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What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
kkurt [141]
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
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Tpy6a [65]

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3 0
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Trevor and marissa together have 26 t-shirts to sell. If marissa has 6 fewer tshirts that trevor, find hiw many tshirts trevor h
Eva8 [605]

Answer:

Number of t-shirts Trevor have are 16

If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

Step-by-step explanation:

Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.

Since, they both have total of 26 t-shirts. We get,

x+y=26

Moreover, Marissa has 6 t-shirts less than that of Trevor.

So, we have,

y=x-6

On solving the system of equations, we get,

x+y=26 implies x+x-6=26 implies 2x=26+6 i.e. 2x= 32 i.e. x= 16.

So, y=x-6 implies y=16-6 i.e y= 10.

Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.

That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.

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3 years ago
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