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(3*10^20)(3*10^(-5))=

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(3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 00:15
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:45) correct 7% (01:04) wrong based on 76 sessions

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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 00:21
\((3*10^{20})(3*10^{(-5)}) = 9 * 10^{15}\)

OPTION : E
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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 03:35

Solution


Given:
    • We are given an expression, \((3 * 10^{20})( 3 * 10^{-5})\)

To find:
    • The value of the given expression

Approach and Working:
    • \((3 * 10^{20})( 3 * 10^{-5}) = (3 * 3) * (10^{20} * 10^{-5}) = 9 * 10^{(20-5)} = 9 * 10^{15}\)

Hence, the correct answer is Option E

Answer: E

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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 04:56
Bunuel wrote:
\((3*10^{20})(3*10^{-5})=\)


A. \(9*10^{-100}\)

B. \(1*10^{-4}\)

C. \(9*10^{-4}\)

D. \(1*10^{15}\)

E. \(9*10^{15}\)



\((3*10^{20})(3*10^{-5})=\)

\((3*3) (10^{20}*10^{-5}\)

\(9 * 10^{10 + (-5)}\)

\(9 * 10^{15}\)

The best answer is E.
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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 09:13
Bunuel wrote:
\((3*10^{20})(3*10^{-5})=\)


A. \(9*10^{-100}\)

B. \(1*10^{-4}\)

C. \(9*10^{-4}\)

D. \(1*10^{15}\)

E. \(9*10^{15}\)


\((3*10^{20})(3*10^{-5})\)

\(= 3^2*10^{20-5}\)

\(= 9*10^{15}\); Answer must be (E)
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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 24 Oct 2018, 09:47
Bunuel wrote:
\((3*10^{20})(3*10^{-5})=\)


A. \(9*10^{-100}\)

B. \(1*10^{-4}\)

C. \(9*10^{-4}\)

D. \(1*10^{15}\)

E. \(9*10^{15}\)


\((3*10^{20})(3*10^{-5})= 3*3*(10^{20-5})
= 9*(10^{15})\)

So Answer is E
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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 25 Oct 2018, 04:03
(3 x 10^20)
(3 x 10^(-5)) = 3 x 1/10^5
=> 3/10^5 x 3 x 10^20
=> 3 x 3 x 10^15
=>9 x 10^15

Hence E
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Re: (3*10^20)(3*10^(-5))=  [#permalink]

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New post 25 Oct 2018, 18:01
Bunuel wrote:
\((3*10^{20})(3*10^{-5})=\)


A. \(9*10^{-100}\)

B. \(1*10^{-4}\)

C. \(9*10^{-4}\)

D. \(1*10^{15}\)

E. \(9*10^{15}\)



Simplifying, we have:

3 x 10^20 x 3 x 10^-5

3 x 3 x 10^20 x 10^-5

(3 x 3) x 10^(20 + (-5))

9 x 10^15

Answer: E
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Re: (3*10^20)(3*10^(-5))=   [#permalink] 25 Oct 2018, 18:01
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