Question

simplify (4/9)power of -3 × (4/9)power of 11 × (4/9)power of -10​

Answer 1

Answer:

81/16

Step-by-step explanation:

Answer 2

Step-by-step explanation:

here is your answer ...

$\frac{4}{9}^{ - 3} \times { \frac{4}{9} }^{11} \times { \frac{4}{9} }^{ - 10}$

$= { (\frac{4}{9}) }^{( - 3) + 11 + ( - 10)}$

$= { (\frac{4}{9} )}^{ - 3 + 11 - 10}$

$= { (\frac{4}{9} )}^{ - 2}$

$= ( \frac{4}{9} )^{ - 2}$

$= ( \frac{9}{4} )^{2}$

$= \frac{9}{4} \times \frac{9}{4}$

$= \frac{81}{16}$

hope it helps ....

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