Powers and Roots Practice Test 4

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Question : 5 of 40

Marks: +1, -0

The value of

9^3 × 18^4 ÷ 3^16

is:

$2 /3$
$4/ 9$
$16 /9$
$32/243$
None of these

Solution:

9^3 × 18^4 ÷ 3^16 ={9^3 × 18^4} / 3^16

={ (3×3)^3 × (2×3×3)^4} / 3^16

={3^6×3^4×3^4×2^4}/3^16={3^14×2^4}/3^16

=2^4/3^2=16/9

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