A hard question. Neither of my parents knows how to solve it.
Evaluate:
(4.16 x 10 to the power of 7) ÷ (3.2 times 10 to the power of 3)
Test Tomorrow!!! Please help!!
2006-10-29 20:31:46 · 10 answers · asked by No-one 4 in Science & Mathematics ➔ Mathematics
4.16 x 10^7 / 3.2 x 10^3
= 4.16/3.2 x 10^4
=1.3 x 10^4 = 13,000
2006-10-29 20:52:09 · answer #1 · answered by Manindomb 2 · 0⤊ 0⤋
Well you can sort of split the problem up. 10 to the seventh power divided by 10 to the 3rd power leaves you with 10 to the fourth. 4.16 divided by 3.2 is 1.3. Then 1.3 multiplied by 10 to the 4th or 1000 equals your answer of 1.3 x 10 to the fourth or 13000.
4.16 x 10^7 / 3.2 x 10^3
10^7 / 10^3 = 10^7-3 = 10^4
4.16 / 3.2 = 1.3
1.3 x 10^4 is your answer or 13,000
2006-10-30 04:39:03 · answer #2 · answered by vette_311 2 · 1⤊ 0⤋
do the bits in the brackets first. 4.16 x 10 7 4,160,000
3.2 x 10 3
13 000 or 1.3 by ten to the power of 4
The fast way is to take the 3 from the seven in the indices leaving the 4 then divide 4.16 by 3.2 getting 1.3 then use the four from the "power" so its 1.3 by ten to the power of 4. I think that's the way your teacher wants you to see it.
Regards xxB
2006-10-30 04:40:06 · answer #3 · answered by Anonymous · 1⤊ 0⤋
(4.6 x 10^7) / (3.2 x 10^3)
You could first start off by first dividing 4.6 by 3.2. And u will get -> 1.4375
You could round off this value to 3 significant figures giving u 1.44.
Now u have got to divide the indices. As the law goes, the powers of the indices with the same base, when divided will be subtracted.
Therefore, that will give u 10^(7-3) = 10^4.
So, ur answer will be 1.44 x 10^4
2006-10-30 04:58:58 · answer #4 · answered by mad_integer 3 · 1⤊ 0⤋
Since you have a test, I would give you a general explanation on indices.
In indices, what you would do with the powers depends on the arithmetic operator for example multiplication (x) or division (÷ ).
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Rule 1
If the arithmetic operator is multiplication, you multiply the first parts and add the powers.
For example (4.16 x 10 to the power of 7) X (3.2 times 10 to the power of 3)
= 4.16 X 3.2 [10 to the power of (7+3)]
= 13.312 X 10 to the power of 10
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Rule 2
On the other hand, if the arithmetic operator is division (as in your question), you divide the first parts and subtract the powers.
For example (4.16 x 10 to the power of 7) ÷ (3.2 times 10 to the power of 3)
= 4.16/3.2 X [10 to the power of (7-3)]
= 1.3 X 10 to the power of 4
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Memory Jogger:
x then +
÷ then -
See the similarities in the corresponding signs?
I wish you luck in the test
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2006-10-30 06:58:40 · answer #5 · answered by bibi 2 · 1⤊ 0⤋
4.16*10^7 / 3.2*10^3
= 41,600,000 / 3200
= 13000
2006-10-30 05:57:32 · answer #6 · answered by sheezabdiran 3 · 1⤊ 0⤋
(4.16 x 10^7)/(3.2 x10^3)
=(4.16/3.2)x(10^7/10^3)
=1.3x(10^(7-3))
=1.3x10^4
Good luck for Tommorow
2006-10-30 04:51:32 · answer #7 · answered by Rangoane 1 · 1⤊ 0⤋
(4.16*10^7)/3.2*10^3 =
(4.16/3.2)(10^(7-3)) =
1.3*10^4
2006-10-30 04:36:57 · answer #8 · answered by Helmut 7 · 1⤊ 0⤋
10 to power of 7 = 10,000,000
4.16 x 10 to power of 7 = 41,600,000
3.2 x 10 to power of 3 = 3,200
41,600,000 / 3,200 = 13,000 or 1.3 x 10 to power of 4.
2006-10-30 04:38:46 · answer #9 · answered by Anonymous · 1⤊ 0⤋
[4.16*10^7]/[3.2*10^3]
=[4.16/3.2][10^7/10^3]
=1.3*10^4
=13000
2006-10-30 04:39:30 · answer #10 · answered by openpsychy 6 · 1⤊ 0⤋