Mathematics: Which number is the same as this expression ?

Which number is the same as this expression ?

jholland03

10.03.2022

$\mathsf{Given : (4^-^1)(\dfrac{2^3}{4^-^2})}$

$\mathsf{\implies (\dfrac{1}{4}) (\dfrac{2^3}{4^-^2})}$

$\mathsf{\implies [\dfrac{2^3}{(4)(4^-^2)}]}$

$\mathsf{\implies [\dfrac{2^3}{(4^-^2^+^1)}]}$

$\mathsf{\implies [\dfrac{2^3}{(4^-^1)}]}$

$\mathsf{\implies (2^3)(4)}$

$\mathsf{\implies (2^3)(2^2)}$

$\mathsf{\implies (2)^3^+^2}$

$\mathsf{\implies (2)^5}$

$\mathsf{\implies 32}$

Option D is the Answer

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quincyjosiah07

25.07.2020

9514 1404 393

see below

Step-by-step explanation:

The augmented matrix is the 3×4 matrix of the coefficients in the standard-form equations.

$\left[\begin{array}{ccc|c}5&-4&-6&-3\\1&-3&1&-1\\-3&-6&7&1\end{array}\right]$

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