Question

Find the value of (81)0.16 X (81)0.09.

Answer 1

HELLO DEAR,

(81)^{0.16} * (81)^{0.09}

we know :- [mⁿ * mˣ = m⁽ⁿ ⁺ ˣ⁾]

so, ⇒(81)^{0.16 + 0.09}

⇒(81)^{0.25}

⇒(3⁴)^{0.25}

⇒(3)^{4*0.25}

⇒(3)^{1}

⇒3


I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

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...