Question

[(-1/5)²]⁴ ÷ (1/5)⁶ : Simplify.

Answer 1

Hi ,

It is given that ,

[ ( -1/5 )² ]⁴ ÷ ( 1/5 )^6

= [ ( -1/5 )^ 8 ] ÷ ( 1/5 )^6

[ Since ( a^m )^n = a^mn ]

= ( 1/5 )^8/ ( 1/5 )^6

= ( 1/5 )^ 8-6

[ a^m/a^n = a^m-n ]

= ( 1/5 )²

= ( 1/5 )( 1/5 )

= 1/25

I hope this helps you.

: )

Answer 2

AnsAsesr ⇒1/25

Solution ⇒

Given condition ⇒

[(-1/5)²]⁴ ÷ (1/5)⁶

= [(-1/5)²]⁴ ÷ (1/5)⁶

= [1/25]⁴ ÷ (1/5)⁶

= [1/25]⁴ ÷ [1/25]³

= 25³/25⁴

= 1/25

Hence, the answer of the given condition will be 1.

Hope it helps.