Order the simplification steps of the expression below using the properties of rational exponents.

$\sqrt[4]{567 x^9 y^{11}}$



|$\left(567 x^9 y^{11}\right)^{\frac{1}{2}}$| |
|:----------------------------------------------------|:---|
|$3 x^2 y^2 \cdot\left(7 x y^3\right)^{\frac{1}{2}}$| |
|$(81)^{\frac{1}{4}} \cdot(7)^{\frac{1}{2}} \cdot x^{\left(\frac{3}{4}+\frac{1}{4}\right)} \cdot y^{\left(\frac{3}{4}+\frac{3}{4}\right)}$|$\downarrow$ |
| |$\downarrow$ |
|$3 x^2 y^2 \sqrt[4]{7 x y^3}$|$\downarrow$ |
| |$\downarrow$ |
|$(81 \cdot 7)^{\frac{1}{2}} \cdot x^{\frac{9}{4}} \cdot y^{\frac{3}{4}}$|$\downarrow$ |
|$\left(3^4\right)^{\frac{1}{4}} \cdot 7^{\frac{1}{4}} \cdot x^{\left(2+\frac{1}{4}\right)} \cdot y^{\left(2+\frac{3}{4}\right)}$|$\downarrow$ |
|$3^1 \cdot 7^{\frac{1}{4}} \cdot x^2 \cdot x^{\frac{1}{4}} \cdot y^2 \cdot y^{\frac{1}{4}}$| |

Greek civilization was affected by their geography because Greece was essentially a bunch of mountainous islands in the Mediterranean Sea . This caused Greece to develop into different city-states each having differences often resulting in waring . Example Sparta and Athens.

Answered by mathonway | 2024-06-10

Greek geography, characterized by mountainous terrain and surrounding seas, led to the development of city-states, a maritime culture, and a trade-focused economy. The landscape facilitated independent communities with unique identities. Geography also influenced their economic activities and resource utilization. ;

Answered by MahershalaAli | 2024-06-18

The geography of Greece, characterized by its mountainous terrain and extensive coastline, led to the development of independent city-states and a thriving maritime culture. This landscape fostered trade and colonization while promoting a shared Greek identity through common cultural practices. Overall, geography was pivotal in shaping the unique characteristics of ancient Greek civilization.
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Answered by mathonway | 2024-09-26