Question

by what number should
$( \frac{4}{ 9} ) {}^{ - 5} \: be \: multiplied \: so \: as \: to \: get \: ( \frac{2}{3} ) {}^{ - 2}$
please answer me fast I have a homework ​

Answer 1

Answer:

256/6561 is ur answer

Step-by-step explanation:

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Answer 2

Let the number be x

As per question------

x×(4/9)^-5=(2/3)^-2

x=(2/3)^-2÷(4/9)^-5

x=(2/3)^-2÷[(2/3)^2]^-5

x=(2/3)^-2÷(2/3)^2×(-5)

x=(2/3)^-2÷(2/3)^-10

x=(2/3)^-2-(-10)

x=(2/3)^8