Question

the value of 81^0.16×81^0.09​

Answer 1

Answer:

3

Step-by-step explanation:

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.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Answer:

3 is the answer

Step-by-step explanation:

81^0.16 x 81^0.09

81^0.16+0.09  (a^x * a^y = a^x+y)

81^0.25

(3^4)^0.25

3^4*0.25  [(a^x)^y = a^x*y]

3^1

3