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2 years ago

How to evaluate (-5)^-3 when 5 is a prime number.

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

3 0

Answer:

$\left( -5\right)^{-3} =-\frac{1}{125}$

Step-by-step explanation:

$\left( -5\right)^{-3} =\frac{1}{\left( -5\right)^{3} } =\frac{1}{-(5)^{3} } =\frac{1}{-125} =-\frac{1}{125}$

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lakkis [162]

<h3><u>Solution:- </u></h3>

Let the number to be added be A

Now,

$\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered}$

Transposing (−5x³+ 4x − 3 ) to other side-

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered}$

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

$\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered}$

Putting like terms together -

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered}$

$\longrightarrow$ Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1

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What is 6/13 divided by 6/12

Nadusha1986 [10]

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Step-by-step explanation:

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disa [49]

We don't have to try each number. We can just solve it ourselves then pick the answer. We need x by itself, so we need to subtract 4.5 from both sides.
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