The formula for the area is l•w so your data gives you the exponential equation: 125^(2n) • 25^(n-1) = 625.

Notice now that every term in the equation has a base that is a power of 5: 5^2= 25, 5^3=125 and 5^4=625.

Using power rules, you can write your equation as: 5^(3•2n) • 5^(2•(n-1))=5^4 or more simply: 5^(6n+2n-2)=5^4

In the equation, since the bases of both sides are the same, it means th... more

Fotios Tsitsos
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97 students helped

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2 years ago