Question

Evaluate. ( 3³ − 4² ) ÷ 1/11​

Answer 1

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Evaluate.

$\bf{( 3^3 - 4^2 )$  ÷ $\bf\dfrac{1}{11}$

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At first we need to find ,

( 3³ − 4² )

⇒ 3³ = 3 × 3 × 3

⇒ 27

⇒ 4² = 4 × 4

⇒ 16

ie,

⇒ 3³ − 4² = 27 -16

⇒ 11

The given fraction is,

$\longrightarrow\bf\dfrac{1}{11}$

As per the given condition,

We need to find ;

( 3³ − 4² ) ÷ 1/11​

⇒ 11 ÷ 1/11

[ nb : we had find the value of ( 3³ - 4 ²) = 11 . So we need to

substitute that value here ]

$\large{\boxed{\bf{\longrightarrow\bf{\dfrac{11}{\dfrac{1}{11}}}}}}}$

$\large{\boxed{\bf{\longrightarrow\bf{\dfrac{11}{1\times11}}}}}$

$\large{\boxed{\bf{\longrightarrow\bf{1}}}$

Hence the answer is 1 .

Concept used :

$\huge{\boxed{\bf{\dfrac{a}{\dfrac{b}{c}}= \dfrac{a}{b\times{c}}}}}}}$

All Done !!☺