Solve: (81¼)8
or
Solve: ∜3 × ∛3
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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
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