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Exponents

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Intern
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Exponents  [#permalink]

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New post 29 Oct 2017, 22:45
3³⁰+3³⁰+3³⁰=3³¹ ?


I was thinking to do 30*30*30 so 3⁹⁰. How did they come up with that result?


Thanks =)
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New post 29 Oct 2017, 23:29
3^30+3^30+3^30 = 3^30(1+1+1)=3^30*(3)= 3^31. You should not multiply the powers.

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New post 30 Oct 2017, 06:56
thegame12 wrote:
3³⁰+3³⁰+3³⁰=3³¹ ?


I was thinking to do 30*30*30 so 3⁹⁰. How did they come up with that result?


Thanks =)


if to think logically, you are adding 3 similar things, thus, you can factor it as: 3 * 3^30.
now, just to verify yourself:
3^(30) = 3 * 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3

now, since you are multiplying everything with one more 3, you can rewrite it as: 3^31
Exponents &nbs [#permalink] 30 Oct 2017, 06:56
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