Simplify-6-7-2- -7-6-21-6-76-77-6

The correct option is A 1(6/7)^ 2× (7/6)^ 2 =(7/6)^2× (6/7)^2 =7^2/6^2×6^2/7^2=1 ...

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Byju's Answer

Standard VII

Mathematics

Multiplying Powers with the Same Base

Simplify (6/7...

Question

Simplify $(\frac{6}{7})^{- 2} \times (\frac{7}{6})^{- 2}$

\frac{7}{6}

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\frac{- 6}{7}

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\frac{6}{7}

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Solution

The correct option is B 1
$(\frac{6}{7})^{- 2} \times (\frac{7}{6})^{- 2}$
$= (\frac{7}{6})^{2} \times (\frac{6}{7})^{2}$
$= \frac{7^{2}}{6^{2}} \times \frac{6^{2}}{7^{2}} = 1$

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Similar questions

Q. Question 112(iii)
Simplify:

\frac{3}{7} + \frac{- 2}{21} \times \frac{- 5}{6}

Q. Simplify

(\frac{6}{7})^{- 2} \times (\frac{7}{6})^{- 2}

Q. Simplify:

\sqrt{7 + 2 \sqrt{6}} - \sqrt{7 - 2 \sqrt{6}}

Which of the following is an orthogonal matrix-

A. $[\begin{matrix} 1 & 0 1 & 0 \end{matrix}]$ B. $[\begin{matrix} 1 & 0 0 & 1 \end{matrix}]$ C. $[\begin{matrix} 1 & 1 1 & 0 \end{matrix}]$ D. $[\begin{matrix} 0 & 0 1 & 1 \end{matrix}]$

Simplify :

$4 \frac{6}{7} - 2 \frac{2}{3} - \frac{20}{21}$

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Simplify (67)−2×(76)−2

The correct option is B 1(67)−2×(76)−2 =(76)2×(67)2 =7262×6272=1

Simplify $(\frac{6}{7})^{- 2} \times (\frac{7}{6})^{- 2}$

The correct option is B 1
$(\frac{6}{7})^{- 2} \times (\frac{7}{6})^{- 2}$
$= (\frac{7}{6})^{2} \times (\frac{6}{7})^{2}$
$= \frac{7^{2}}{6^{2}} \times \frac{6^{2}}{7^{2}} = 1$