Math, asked by 2vasundhara176, 1 month ago

Solve the following
(81)^-4÷(729)^2-x=9^4x

Answers

Answered by ΙΙïƚȥΑαɾყαɳΙΙ
5

Answer:

My writing is a bit terrible but I hope you understand

Step-by-step explanation:

Mark Brainliest ❤️✌️☺️

Attachments:
Answered by ManishShah98
1

\small\red{\boxed{question  :  (81) {}^{ - 4} \div  {(729)}^{2 - x}  =  {9}^{4x}  }} \\  \\ \small\orange{\underline{ \underline{solution}:  - }} \\  \\  \color{blue}  (81) {}^{ - 4} \div  {(729)}^{2 - x}  =  {9}^{4x} \\  \\ \color{blue}( {9}^{2} )^{ - 4}  \div ( {9}^{3} )^{2 - x}  =  {9}^{4x}  \\  \\ \color{blue} {9}^{2 \times ( - 4)}  \div  {9}^{3 \times (2 - x)}  =  {9}^{4x}  \\  \\ \color{blue} {9}^{ - 8}  \div  {9}^{6 - 3x}  =  {9}^{4x}  \\  \\ \color{blue}  {9}^{ - 8 - (6 - 3x)}  =  {9}^{4x}  \\  \\ \color{blue} {9}^{ - 8 - 6 + 3x}  =  {9}^{4x}  \\  \\ \color{blue} - 8 - 6 + 3x = 4x\:  \:  \:  \:\color{red}(∵bases \: are \: equal ) \\  \\\color{blue}  - 14 = 4x - 3x \\  \\ \color{blue} - 14 = x \\  \\ \color{green}or \  \:  \:  \: x =  - 14 \: \:  \:   \: answer \\  \\  \\ \small\pink{\boxed{\boxed{it's ᭄亗 乄 MꫝղᎥនh 乄 亗✯❤࿐}}}

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