Question

Simplify :-(-81)^-1×3^7
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Answer 1

Answer:

27

Step-by-step explanation:

Solution:

${ (- 81)}^{ - 1} \times {3}^{7}$

$= { ({3}^{4} )}^{ - 1} \times {3}^{7}$

$= {3}^{ - 4} \times {3}^{7}$

Since,

${a}^{x} \times {a}^{y} = {a}^{x + y}$

Hence,

$= {3}^{ - 4 + 7}$

$= {3}^{3}$

= 27 (Ans)