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TheUltimateWinner
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Which of the following is equal to 5^17 × 4^9? 29 Jan 2020, 08:20
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88% (00:52) correct 12% (01:44) wrong based on 700 sessions

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Which of the following is equal to \(5^{17}× 4^{9}\)?
A. \(2 × 10^{13}\)
B. \(2 × 10^{17}\)
C. \(2 × 10^{20}\)
D. \(2 × 10^{26} \)
E. \(2 × 10^{36}\)
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B
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jabhatta2
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Which of the following is equal to 5^17 × 4^9? 29 Jan 2020, 08:38
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Straight b

4^9 can be rewritten as 2^18

Then seperate the 2^18 into 2^1 and 2^17

Then you have 5^17 x 2^17 x 2^1

That becomes 2^1 x 10^17

Which is option b

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ScottTargetTestPrep
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Which of the following is equal to 5^17 × 4^9? 02 Feb 2020, 12:09
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Asad
Which of the following is equal to \(5^{17}× 4^{9}\)?
A. \(2 × 10^{13}\)
B. \(2 × 10^{17}\)
C. \(2 × 10^{20}\)
D. \(2 × 10^{26} \)
E. \(2 × 10^{36}\)
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\(5^{17} * 4^9 = 5^{17} * 2^{18} = (5^{17} * 2^{17}) * 2 = 10^{17} * 2\)

Answer: B
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Which of the following is equal to 5^17 × 4^9? 25 Apr 2020, 16:49
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Asad
Which of the following is equal to \(5^{17}× 4^{9}\)?
A. \(2 × 10^{13}\)
B. \(2 × 10^{17}\)
C. \(2 × 10^{20}\)
D. \(2 × 10^{26} \)
E. \(2 × 10^{36}\)
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If you number of 5's as 17 then you cannot have more than 17 10s.

Answer is straight B.

Hope that helps!
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Which of the following is equal to 5^17 × 4^9? 05 May 2022, 05:52
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TheUltimateWinner
Which of the following is equal to \(5^{17}× 4^{9}\)?
A. \(2 × 10^{13}\)
B. \(2 × 10^{17}\)
C. \(2 × 10^{20}\)
D. \(2 × 10^{26} \)
E. \(2 × 10^{36}\)
Show more

Key property: \((x^n)(y^n) = (xy)^n\)
Example: \((3^7)(10^7) = 30^7\)

Strategy: When I check the answer choices, I see that they're all in the same form. Since I know that 2 x 5 = 10, I'm going to apply the above property after I rewrite \(4\) as \(2^2\)

Given: \(5^{17}× 4^{9}\)

Rewrite \(4\) as follows: \(5^{17}× (2^2)^{9}\)

Simplify by applying the power of a power law: \(5^{17}× 2^{18}\)

Strategy: In order to apply the how about property, we need the same exponent for bases 5 and 2. We can do this by rewriting \(2^{18}\) as \(2^{17} × 2^1\)

Rewrite \(2^{18}\) as follows: \(5^{17}× 2^{17} × 2^1\)

Apply the above property to get: \(10^{17} × 2^1\)

Answer: B
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Which of the following is equal to 5^17 × 4^9? 26 Sep 2023, 08:19
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TheUltimateWinner
Which of the following is equal to \(5^{17}× 4^{9}\)?
A. \(2 × 10^{13}\)
B. \(2 × 10^{17}\)
C. \(2 × 10^{20}\)
D. \(2 × 10^{26} \)
E. \(2 × 10^{36}\)
Show more
\(5^{17}× 4^{9}\)

=\(5^{17}× 2^{18}\)

=\(10^{17}× 2\), Answer will be (B)
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Which of the following is equal to 5^17 × 4^9? 09 Oct 2023, 08:26
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4^9 is same as 2^18

Then 5^17 x 2^17 x 2^1

That becomes 2^1 x 10^17

Which is option b

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Which of the following is equal to 5^17 × 4^9? 02 Mar 2025, 07:28
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