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sergeinik [125]
2 years ago
6

What is equivalent to 3√125 ^x?

Mathematics
1 answer:
In-s [12.5K]2 years ago
4 0

Answer:

Option D) ((125)^{\frac{1}{3}})^x

Step-by-step explanation:

We are given the following in the question:

(^3\sqrt{125})^x

We have to write and equivalent expression for the same.

Exponential properties:

^3\sqrt{a} = a^{\frac{1}{3}}\\(a^x)^y = a^{xy}

Using the above properties, we can write:

(^3\sqrt{125})^x\\=((125)^{\frac{1}{3}})^x\\=(125)^{\frac{x}{3}}

Thus, the correct option is

Option D) ((125)^{\frac{1}{3}})^x

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f(1) = 4 is given

f(n) = f(n-1)-4 is the recursive step or rule

f(2) = f(2-1)-4 ... replace n with 2

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f(2) = 4-4 ... replace f(1) with 4

f(2) = 0

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Repeat for n = 3

f(n) = f(n-1)-4

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f(3) = f(2) - 4

f(3) = 0 - 4 .... replace f(2) with 0, which is from f(2) = 0 found earlier

f(3) = -4

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Repeat for n = 4

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f(4) = f(4-1)-4

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f(4) = -8

<h3>Answer is   -8</h3>
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