simplify (9²)³ divided by (3²)²
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Answer:
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Step-by-step explanation:
(9²)³÷(3²)²
=(9²×³)÷(3²×²)
=(9⁶)÷(3⁴)
=(3²)⁶÷(3⁴) {9=3²}
=(3²×⁶)÷3⁴
=3¹²÷3⁴
=3¹²-⁴
=3⁸
=6561
[tex]\boxed{\bold{\large{\red{ANSWER}}}}[/tex]
[tex]\purple{ { ({9}^{2} )}^{3} \div { ({3}^{2}) }^{2} }[/tex]
[tex]\rightarrow{ {9}^{2 \times 3} \div {3}^{2 \times 2} }[/tex]
[tex]\rightarrow{ {9}^{6} \div {3}^{4}} [/tex]
[tex]\rightarrow{ { ({3}^{2} )}^{6} \div ({3}^{4} )} \: \: \: \: - - - > [ 9 = {3}^{2} ][/tex]
[tex]\rightarrow{ {3}^{2 \times 6} \div {3}^{4} }[/tex]
[tex]\rightarrow{ {3}^{12} \div {3}^{4}} [/tex]
[tex]\rightarrow{ {3}^{12 - 4} }[/tex]
[tex]\rightarrow{ {3}^{8} }[/tex]
[tex]\rightarrow{6561}[/tex]
[tex]\bold{\large{\pink{I \: hope \: it \: helps \: u \: dear \: friend !!}}}[/tex]