Question

Please solve this question in the given picture above , please solve :

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Answer 1

Answer:

1/4

Step-by-step explanation:

=⁴√16-²

=⁴√1/16²

=⁴√1/(4)²*²     {(a²)²=a⁴}

=⁴√1/(4)⁴

=1/4

Answer 2

Answer:

⁴√(16^(-2)) = (1/4)

Step-by-step explanation:

We must know that,

mth√a = a^(1/m)

(a^m)^n = a^(m × n)

a^(-1) = 1/a

Now,

⁴√(16^(-2))

= (16^(-2))^(1/4)

= 16^((-2) × (1/4)

= 16^(-2/4)

= 16^(-1/2)

= (1/16)^(1/2)

= √(1/16)

= √(1 × 1)/(4 × 4)

= (1/4)

OR

⁴√(16^(-2))

we know, 16 = 2 × 2 × 2 × 2 = 2⁴

⁴√((2⁴)^(-2))

⁴√(2^(4 × -2)

⁴√(2^(-8)

= (2^(-8))^(1/4)

= 2^(-8 × (1/4)

= 2^(-2)

= 1/2²

= 1/4

Thus,

⁴√(16^(-2)) = (1/4)

Hope it helped and believing you understood it........All the best