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7th? o__O....
Help with exponenets?
- Thread starter Beleated_Media
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7th? o__O....
Its made up of 12 problems, one example is z/z^5
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Don't blame me, I suck at math XD
I mean, what is it telling you to do. It has instructions right?
Just says simplify...
ZeldaSylveon
you make me feel special ✧*･ﾟ
wouldnt that be z^-4?
Superpenguin
Penguins! <3
1/z[SUP]4[/SUP]
I just watched a few videos, it seems that the person who said subtracting the exponenets was right. I think I can figure it out on my own now.
ZeldaSylveon
you make me feel special ✧*･ﾟ
I DID MATH RIGHT FOR ONCE YAAYYY
^= TO the power of
/ = divided by or fraction
Multiplying exponents with same base
For exponents with the same base, we should add the exponents:
a^n ? a^m = a^n+m
Example:
2^3 ? 2^4 = 2^(3+4) = 27 = 2?2?2?2?2?2?2 = 128
Multiplying exponents with different bases
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a^n ? b^n = (a ? b)^n
Example:
3^2 ? 4^2 = (3?4)^2 = 122 = 12?12 = 144
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a^n ? b^m
Example:
3^2 ? 4^3 = 9 ? 64 = 576
Multiplying negative exponents
For exponents with the same base, we can add the exponents:
a^-n ? a^-m = a^-(n+m) = (1/a)^n+m
Example:
2^-3 ? 2^-4 = 2^-(3+4) = 2^-7 = 1/27 = 1/(2?2?2?2?2?2?2) = 1/128 = 0.0078125
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a^-n ? b^-n = (a ? b)^-n
Example:
3^-2 ? 4^-2 = (3?4)^-2 = 12^-2 = 1/122 = 1/(12?12) = 1/144 = 0.0069444
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a^-n ? b^-m
Example:
3^-2 ? 4^-3 = (1/9) ? (1/64) = 1/576 = 0.0017361
Multiplying fractions with exponents
Multiplying fractions with exponents with same fraction base:
(a/b)^n ? (a/b)^m = (a/b)^n+m
Example:
(4/3)^3 ? (4/3)^2 = (4/3)^3+2 = (4/3)^5 = 45/35 = 4.214
Multiplying fractions with exponents with same exponent:
(a / b)^n ? (c / d)^n = ((a / b)?(c / d))^n
Example:
(4/3)^3 ? (3/5)^3 = ((4/3)?(3/5))^3 = (4/5)^3 = 0.83 = 0.8?0.8?0.8 = 0.512
Multiplying fractions with exponents with different bases and exponents:
(a / b)^n ? (c / d)^m
Example:
(4/3)^3 ? (1/2)^2 = 2.37 ? 0.25 = 0.5925
For exponents with the same base, we should add the exponents:
a^n ? a^m = a^n+m
Example:
2^3 ? 2^4 = 2^(3+4) = 27 = 2?2?2?2?2?2?2 = 128
Multiplying exponents with different bases
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a^n ? b^n = (a ? b)^n
Example:
3^2 ? 4^2 = (3?4)^2 = 122 = 12?12 = 144
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a^n ? b^m
Example:
3^2 ? 4^3 = 9 ? 64 = 576
Multiplying negative exponents
For exponents with the same base, we can add the exponents:
a^-n ? a^-m = a^-(n+m) = (1/a)^n+m
Example:
2^-3 ? 2^-4 = 2^-(3+4) = 2^-7 = 1/27 = 1/(2?2?2?2?2?2?2) = 1/128 = 0.0078125
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a^-n ? b^-n = (a ? b)^-n
Example:
3^-2 ? 4^-2 = (3?4)^-2 = 12^-2 = 1/122 = 1/(12?12) = 1/144 = 0.0069444
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a^-n ? b^-m
Example:
3^-2 ? 4^-3 = (1/9) ? (1/64) = 1/576 = 0.0017361
Multiplying fractions with exponents
Multiplying fractions with exponents with same fraction base:
(a/b)^n ? (a/b)^m = (a/b)^n+m
Example:
(4/3)^3 ? (4/3)^2 = (4/3)^3+2 = (4/3)^5 = 45/35 = 4.214
Multiplying fractions with exponents with same exponent:
(a / b)^n ? (c / d)^n = ((a / b)?(c / d))^n
Example:
(4/3)^3 ? (3/5)^3 = ((4/3)?(3/5))^3 = (4/5)^3 = 0.83 = 0.8?0.8?0.8 = 0.512
Multiplying fractions with exponents with different bases and exponents:
(a / b)^n ? (c / d)^m
Example:
(4/3)^3 ? (1/2)^2 = 2.37 ? 0.25 = 0.5925
It wasn't the worksheet it was the texbook my bad
That is correct. z/z^(5) would equal(=) z^(1) - z^(5) which would equal(=) z^(-4)
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Superpenguin
Penguins! <3
z/z^(5) is not the same thing as z^(1) - z^(5). I know what you meant, but just to prevent confusion.
z/z[SUp]5[/SUp] = z[sup]1 - 5[/sup] = z[sup]-4[/sup] OR 1/z[sup]4[/sup]
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ZeldaSylveon
you make me feel special ✧*･ﾟ
the subtraction eqaution is saying that you subtract the exponents but yea the answers are the same and they would probably want you to get rid of the negative exponent
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1/z^4 is inverting, which is z^-4. It's the same thing. 1/z^4 = z^-4
1/ 2^(4) = 1/16 which = 2^(-4) which = 1/16
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Also what do I o with that extra number? Such as
6ng^3 x (2n^2 x g^3)
*The six and the first two
6ng^3 x (2n^2 x g^3)
*The six and the first two
Superpenguin
Penguins! <3
That's not what I was referring to.
You said z/z[sup]5[/sup] is the same thing as z[sup]1[/sup] - z[sup]5[/sup]
It's not the same. I was just clearing that up for the OP so they wouldn't get the wrong idea.
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6ng[sup]3[/sup](2n[sup]2[/sup])(g[sup]3[/sup])
12n[sup]3[/sup]g[sup]3[/sup](g[sup]3[/sup])
12n[sup]3[/sup]g[sup]6[/sup]
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6ng^3 x 2n^2 x g^3 would = 6ng^3 x 2n^2g^3 = 12n^3g^6
Proof: n=6, g=8; 6 x 6 x 8^3 x 2 x 6^2 x 8^3 = 36 x 512 x 2 x 36 x 512 = 679,477,248 = 12 x 6^3 x 8^6 = 12 x 216 x 262144 = 679,477,248
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z/z^(5) is not the same thing as z^(1) - z^(5). I know what you meant, but just to prevent confusion.
z/z5 = z1 - 5 = z-4 OR 1/z4
Yeah, sorry. I'm pretty drunk right now, and I got that mixed up. I feel soooo stupid right now. >w<
z^1/z^5 would = z^(1 - 5) which would = z^-4 OR 1/z^4, like you said.
Ugh. I feel really stupid.
Proof: n=6, g=8; 6 x 6 x 8^3 x 2 x 6^2 x 8^3 = 36 x 512 x 2 x 36 x 512 = 679,477,248 = 12 x 6^3 x 8^6 = 12 x 216 x 262144 = 679,477,248
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z/z^(5) is not the same thing as z^(1) - z^(5). I know what you meant, but just to prevent confusion.
z/z5 = z1 - 5 = z-4 OR 1/z4
Yeah, sorry. I'm pretty drunk right now, and I got that mixed up. I feel soooo stupid right now. >w<
z^1/z^5 would = z^(1 - 5) which would = z^-4 OR 1/z^4, like you said.
Ugh. I feel really stupid.
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