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nataly862011 [7]
3 years ago
10

A school bus weighs 7 tons. The weight limit for a bridge is given in pounds. What is this weight of the bus in pounds?

Mathematics
1 answer:
Gwar [14]3 years ago
8 0
There is 2000 pounds in 1 ton. So if you have 7 pounds that means that the bus in pounds is 14000
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kondor19780726 [428]

Answer:

14 ( 5)^{\frac{1}{4}} p^{\frac{1}{4}} q^{\frac{1}{2}} r^{2}

Step-by-step explanation:

The expression to simplify in this problem is

7\sqrt[4]{80pq^2r^8}

Which can be rewritten as

7(80pq^2r^8)^{\frac{1}{4}}

Or also as

7\cdot 80^{\frac{1}{4}} \cdot p^{\frac{1}{4}} \cdot (q^2)^{\frac{1}{4}} \cdot (r^8)^{\frac{1}{4}}

Now we can apply the following rule for the calculation of the power of a power:

(a^m)^n = a^{m\cdot n}

So we get:

7\cdot 80^{\frac{1}{4}} \cdot p^{\frac{1}{4}} \cdot q^{\frac{1}{2}} \cdot r^{2}

Which can therefore be rewritten as

7\cdot (2^4\cdot 5)^{\frac{1}{4}} \cdot p^{\frac{1}{4}} \cdot q^{\frac{1}{2}} \cdot r^{2}

And so, we get

7\cdot 2 \cdot ( 5)^{\frac{1}{4}} \cdot p^{\frac{1}{4}} \cdot q^{\frac{1}{2}} \cdot r^{2}

which can be finally rewritten as

14 ( 5)^{\frac{1}{4}} p^{\frac{1}{4}} q^{\frac{1}{2}} r^{2}

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Step-by-step explanation:

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