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allochka39001 [22]
3 years ago
12

How is this written in an expanded version?

Mathematics
2 answers:
Yuri [45]3 years ago
5 0

Powers distribute over multiplications:

(ab)^c = a^c\cdot b^c

So, you have

(3k^5)^2 = 3^2 \cdot (k^5)^2

Now, 3^2 is simply 9.

As for (k^5)^2, we have to use the rule

(a^b)^c = a^{bc}

to get

(k^5)^2=k^{5\cdot 2}=k^{10}

So, the final answer is

(3k^5)^2 =9k^{10}

Marianna [84]3 years ago
4 0

Answer:

225k

Step-by-step explanation:

3k * 5 = 15k * 15 = 225k

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