Question :-
Which expression is not equal to the expression shown?
3³ ÷ 3⁻⁴
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Solution :-
Given Information :-
- Equation 1 ( question )➢ 3³ ÷ 3⁻⁴
- Equation 2 ( option 1 )➢ 3⁻³ ÷ 3⁴
- Equation 3 ( option 2 )➢ 3 × 3⁶
- Equation 4 ( option 3 )➢ 3⁷ ÷ 3⁰
- Equation 5 ( option 4 )➢ 3³ × 3⁴
To Find :-
- Which expression is not equal to the expression shown.
Calculation :-
Let's first solve all the equations and then check which equation is not equal to equation given in question.
- Solving Equation 1 ( question ) :-
⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾
⇒ 3³⁺⁴ = 3⁷ = 2,187
- Solving Equation 2 ( option 1 ) :-
⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴
⇒ 3⁻⁷ = 0.000457
- Solving Equation 3 ( option 2 ) :-
⇒ 3 × 3⁶ = 3⁷
⇒ 3⁷ = 2,187
- Solving Equation 4 ( option 3 ) :-
⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1
⇒ 3⁷ ÷ 1 = 2,187
- Solving Equation 5 ( option 4 ) :-
⇒ 3³ × 3⁴ = 3³⁺⁴
⇒ 3⁷ = 2,187
From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴
Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴
Hence, Option 1 is the correct answer.
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Final Answer :-
- Option 1 ) ⟶ 3⁻³ ÷ 3⁴ is the correct answer.
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