8^1/3 or how to do it with any fractions

Mathematics

1 answer:

ahrayia [7]2 years ago

8 0

Answer:

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

$\sqrt[b]{ {a}^{c} }$

8^1/3=

$\sqrt[3]{ {8}^{1} }$

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

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It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho

Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Leon do the work in 17 hours that means the rate of his work is $\frac{1}{17} work/hr$ , so he do $\frac{2}{17}$ of the work in two hours, therefore Michael do the other $\frac{15}{17}$ of the work, thus Michael rate will be $\frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour$ .

So it takes Michael $1h+\frac{4}{17}h$ to complete the work, or $\frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs$