Question

The value of (2/5) -3​

Answer 1

Answer:

hopefully it will help you

Answer 2

The value of $\dfrac{2}{5}-3$ is $(-\dfrac{13}{5})$.

Step-by-step explanation:

Here, $\dfrac{2}{5}-3$

$=\dfrac{2}{5}-\dfrac{3\times 5}{5}$

$=\dfrac{2}{5}-\dfrac{15}{5}$

$=\dfrac{2-15}{5}$

$=-\dfrac{13}{5}$

Extra:

When we take the problem to be $(\dfrac{2}{5})^{-3}$, the required answer is $\dfrac{125}{8}$.

Tips:

The Laws of Indices state that,

• $(\dfrac{a}{b})^{n}=\dfrac{a^{n}}{b^{n}}$

• $a^{-m}=\dfrac{1}{a^{m}}$

Step-by-step explanation:

Now, $(\dfrac{2}{5})^{-3}$

$=\dfrac{1}{(\frac{2}{5})^{3}}$

$=\dfrac{1}{\dfrac{2^{3}}{5^{3}}}$

$=\dfrac{5^{3}}{2^{3}}$

$=\dfrac{125}{8}$

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