Question

find the value of the question​

Answer 1

$\huge\bold{\mathbb{QUESTION}}$

Find the value of the question:

(i) $2^{-3}$

(ii) ${\dfrac{1}{3^{-3}}}$

$\huge\bold{\mathbb{TO\: FIND}}$

The value.

$\huge\bold{\mathbb{SOLUTION}}$

We know that:

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\:\underline{\: \boxed{\large \sf{a^{-b}={\dfrac{1}{a^b}}}}\:}\:}$

Let's find the value of $2^{-3}.$

$2^{-3}$

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

$={\dfrac{1}{(2\times2\times2)}}$

$={\dfrac{1}{8}}$

So, $2^{-3}={\dfrac{1}{8}}.$

$\:$

Let's find the value of ${\dfrac{1}{3^{-3}}}.$

${\dfrac{1}{3^{-3}}}$

$={\dfrac{1}{{\frac{1}{3^{3}}}}}$

$={\dfrac{1}{{\frac{1}{(3\times3\times3)}}}}$

$={\dfrac{1}{{\frac{1}{27}}}}$

$=1\div {\dfrac{1}{27}}$

$=1\times {\dfrac{27}{1}}$

$=\cancel{1} \times {\dfrac{27}{\cancel{1}}}$

$=27$

So, ${\dfrac{1}{3^{-3}}}=27$

$\huge\bold{\mathbb{ANSWER}}$

(i) $2^{-3}={\dfrac{1}{8}}$

(ii) ${\dfrac{1}{3^{-3}}}=27$

$\huge\bold{\mathbb{WE\:\,MADE\:\,IT\:\,!!}}$

Answer 2

Answer:

1)-8

2)27

Step-by-step explanation:

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