If 22 a-1- 33 b-2-62-2x- 3yChose the correct option-A- x-2 a-1- y-3 bB- x-2 a-1- y-3 b-2C- x-2 a-1- y-3 bD- x-2 a-1- y-3 b

The correct option is A x = 2a – 1, y = 3b 2^(2a+1)× 3^(3b+2)/6^2 = 2^(2a+1)× 3^(3b+2)/(2×3)^2 nbsp;= 2^(2a+1)× 3^(3b+2)/2^2×3^2 nbsp; nbsp;[∵ (ab)^m ...

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Byju's Answer

Standard VIII

Mathematics

Quotient Law

If 22 a+1× 33...

Question

If $\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = 2^{x} \times 3^{y}$

Chose the correct option:

x = 2a – 1, y = 3b

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x = 2a + 1, y = 3b + 2

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x = 2a + 1, y = 3b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = 2a + 1, y = 3b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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Solution

The correct option is A
x = 2a – 1, y = 3b

$\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = \frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{(2 \times 3)^{2}}$

$= \frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{2^{2} \times 3^{2}}$ $[∵ (a b)^{m} = a^{m} \times b^{m}]$

$= 2^{(2 a + 1 - 2)} \times 3^{(3 b + 2 - 2)} [∵ \frac{a^{m}}{a^{n}} = a^{m - n}]$

$= 2^{(2 a - 1)} \times 3^{(3 b)} ∵ 2^{(2 a - 1)} \times 3^{(3 b)} = 2^{x} \times 3^{y}$

$\Rightarrow x = 2 a - 1, y = 3 b$

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Similar questions

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f (x) =

∣ ∣ ∣ ∣ ∣ \begin{matrix} (1 + 3 x)^{2 a} & (1 + 2 x)^{3 b} & 1 1 & (1 + 3 x)^{2 a} & (1 + 2 x)^{3 b} (1 + 2 x)^{3 b} & 1 & (1 + 3 x)^{2 a} \end{matrix} ∣ ∣ ∣ ∣ ∣

then

If $\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = 2^{x} \times 3^{y}$

Chose the correct option:

Q. Find the value of x, y in the pair of equation given below, where

x \neq 0 & y \neq 0

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Q. Find the values of x and y in the below given pair of equation, where

x \neq 0 & y \neq 0

\frac{2}{x} + \frac{3}{y} = 13

\frac{5}{x} - \frac{4}{y} = - 2

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$\frac{2}{x} + \frac{3}{y} = 13$

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If 2(2a+1)×3(3b+2)62=2x×3y Chose the correct option:

The correct option is A x = 2a – 1, y = 3b 2(2a+1)×3(3b+2)62=2(2a+1)×3(3b+2)(2×3)2 =2(2a+1)×3(3b+2)22×32 [∵(ab)m=am×bm] =2(2a+1−2)×3(3b+2−2) [∵aman=am−n] =2(2a−1)×3(3b)∵2(2a−1)×3(3b)=2x×3y ⇒ x=2a−1,y=3b

If $\frac{2^{(2 a + 1)} \times 3^{(3 b + 2)}}{6^{2}} = 2^{x} \times 3^{y}$

Chose the correct option: