Question

Solve: (81¼)8
or
Solve: ∜3 × ∛3

Answer 1

Here's the required answer to your question

Answer 2

Step-by-step explanation:

1)

Given that:-

(81¼)8

=>((3⁴)¼)8

we know that (a^m)^n=a^mn

=>(3)8

=>24

(81¼)8=24

or if you gave 8 is a power then 3⁸=6561

2)

Given that:-

∜3 × ∛3

we know that n√a=(a)^1/n

=>3¹/4×3¹/³

=>3³/¹²×3⁴/¹²

=>(3³)¹²×(3⁴)¹/¹²

=>(3³×3⁴)¹/¹²

we know that a^m×a^n=a^(m+n)

=>(3³+⁴)¹/¹²

=>(3⁷)¹/¹²

=>(2187)¹/¹² (or)

=>¹²√2187

∜3 × ∛3=¹²√2187