Question
The value of \(\dfrac{{{3^{ - 5}} \times {9^{ - 5}}}}{{{{27}^{ - 2}} \times {{243}^{ - 2}}}} = \) ______
The correct answer is
3
Used Concept:
Rules of Indices:
(am)n = amn
1/am = a- m
am × an = am + n
Calculation:
⇒ ? = (3- 5 × 9- 5)/(27- 2 × 243- 2)
⇒ ? = (3- 5 × 3(- 5 × 2))/(3(- 2 × 3) × 3(- 2 × 5))
⇒ ? = 3(- 15)/3( - 16)
⇒ ? = 3(-15 + 16)
⇒ ? = 31 = 3
∴ The required value is 3.
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