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erica [24]
3 years ago
12

What’s this I need help with math...

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

3^12 = 531441

Step-by-step explanation:

For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:

[ ( 3^2 ) ^ 3 ] ^ 2

= [ 3^2 * 3^2 * 3^2 ] ^ 2

= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2

And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:

3 ^ (2 + 2 + 2 + 2 + 2 + 2)

= 3^12

Either way of power manipulation, you end with the same result of 3^12. Hope this helps.

Cheers.

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