Math, asked by laxmisharma24481, 2 days ago

( 3 ^ { 6 } \div 3 ^ { 8 } ) ^ { 4 } \times 3 ^ { - 4 }
plz ans this wright answer i will mark brainlist ​ step by step

Answers

Answered by Adrito2
0

Answer:

\frac{1}{531441}

Step-by-step explanation:

(3^6÷3^8)^4 × 3^{-4}

=(3^{-2})⁴  × 3^{-4}

= 3^{-8} × 3^{-4}

= 3^{-8-4}

=3^{-12}

=\frac{1}{3^{12}}

=\frac{1}{531441}

Ans:-\frac{1}{531441}

Answered by krishpmlak
0

Answer:

Step-by-step explanation:

Given that,

( 3⁶ ÷ 3⁸ )⁴ × 3^ - 4 (∵" ^ " this symbol means " to the power of " )

= ( 3⁶ × 1/3⁸ )⁴ × 3^- 4

= ( 3⁶ × 3^ - 8 )⁴ × 3^ - 4 ( ∵ 1/a ^m = a ^ - m )

= ( 3^(6+( - 8 ) )⁴ × 3^ - 4 (∵Bases are equal then powers should be add )

= ( 3^ 6 - 8 )⁴ × 3^ -4

= ( 3 ^ - 2 ) ⁴ × 3^ - 4

= 3^- 8 × 3^- 4

= 3 ^ ( -8-4) (∵Bases are equal then powers should be add )

= 3 ^ -12 ( or ) 1/ 3¹² is the answer.

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