Evaluate ((2×8)/(7×19))^(2x+3y): Complex Fraction Power Expression

Insert the corresponding expression:

(2×87×19)2x+3y= \left(\frac{2\times8}{7\times19}\right)^{2x+3y}=

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Step-by-step video solution

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00:13 Let's simplify this math problem together!
00:17 Remember, when a fraction is raised to the power of N, both the top and bottom are raised to N.
00:24 So, let's apply this rule to our problem.
00:27 Next, when a whole product is raised to the power of N, each part gets the power of N too.
00:37 Let's use this idea in our exercise.
00:43 Applying these rules makes it easier!
01:13 And that's how you solve the problem!

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(2×87×19)2x+3y= \left(\frac{2\times8}{7\times19}\right)^{2x+3y}=

3

Final Answer

22x+3y×82x+3y72x+3y×192x+3y \frac{2^{2x+3y}\times8^{2x+3y}}{7^{2x+3y}\times19^{2x+3y}}

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\( 112^0=\text{?} \)

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