-563-4-567-6 - -567-x- the value of x is -

The correct option is B 8912 ( 5/6 )^3/4÷ ( 56 )^7/6 ⇒ ( 5/6 )^3/4 7/6 #160; ⇒ ( 56 )^9 1412 #160; ⇒ ( 56 )^ 5/12 = ( ...

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Byju's Answer

Standard XII

Mathematics

Variable Separable Method

-563/4-567/6 ...

Question

$\frac{(- \frac{5}{6})^{3 / 4}}{(- \frac{5}{6})^{7 / 6}} = (- \frac{5}{6})^{7 - x}$ , the value of x is :

\frac{7}{12}

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\frac{89}{12}

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\frac{8}{12}

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\frac{10}{12}

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Solution

The correct option is B $\frac{89}{12}$
${(- 5 / 6)}^{3 / 4} \div {(\frac{- 5}{6})}^{7 / 6}$
$\Rightarrow {(- 5 / 6)}^{3 / 4 - 7 / 6}$
$\Rightarrow {(\frac{- 5}{6})}^{\frac{9 - 14}{12}}$
$\Rightarrow {(\frac{- 5}{6})}^{- 5 / 12}$
$= {(\frac{- 5}{6})}^{7 - x}$
$\Rightarrow x = 7 + 5 / 12$
$\Rightarrow x = \frac{89}{12}$

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Similar questions

(- \frac{5}{6})^{3 / 4}

when divided by

(- \frac{5}{6})^{7 / 6}

becomes

(- \frac{5}{6})^{7 - x}

, the value of x is:

Q. The value of

(\frac{1}{4} - \frac{1}{6})

o f

(\frac{2}{3} - \frac{5}{12}) \times (\frac{5}{8} - \frac{7}{12})

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Question 67

Using the frequency table, answer the following:

$\begin{matrix} Marks(Obtained out of 10) & 4 & 5 & 7 & 8 & 9 & 10 Frequency & 5 & 10 & 8 & 6 & 12 & 9 \end{matrix}$
The frequency of more than 8 marks is 21 ?

The numerically greatest term in the expansion of $(2 + 3 x)^{12}$ when $x = \frac{5}{6}$ is:

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(−56)3/4(−56)7/6=(−56)7−x, the value of x is :

The correct option is B 8912(−5/6)3/4÷(−56)7/6⇒(−5/6)3/4−7/6 ⇒(−56)9−1412 ⇒(−56)−5/12=(−56)7−x ⇒x=7+5/12 ⇒x=8912

$\frac{(- \frac{5}{6})^{3 / 4}}{(- \frac{5}{6})^{7 / 6}} = (- \frac{5}{6})^{7 - x}$ , the value of x is :