Find the value of 81 0.16 x 81 0.09
Asked by admin @ in Math viewed by 485 People
Find the value of (81)0.16 X (81)0.09.
Answered by admin @
GIVEN :
81^(0.16) × 81^(0.09)
By law of exponents [aⁿ × aˣ = a⁽ⁿ ⁺ ˣ⁾]
= 81^(0.16 + 0.09)
= 81^(0.25)
(3⁴)^0.25
[81 = 3 ×3×3×3 = 3⁴]
= (3)^{4 × 0.25}
[(aⁿ)ˣ = aⁿˣ]
= (3)¹
= 3
Hence, the value is 3.
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