Question

$\frac{4}{9} ^{ - 2} \: \times \frac{1}{4}^{ - 2} \times \frac{1}{3 ^{ - 2} } \times \frac{17}{18}^{0} \\ simplify \: the \: following. \: \: \\ note \: - \: wrong \: answer \: = \: report \: \ \\correct \: answr \: + \: step \: by \: step \: solution \: = \: brainliest$
Please solve this question as soon as possible. ​

Answer 1

Answer:

729

Step-by-step explanation:

$\frac{4}{9}^{-2}$× $\frac{1}{4}^{-2}$× $\frac{1}{3^{-2}}$ × $\frac{17}{18}^{0}$

⇒$\frac{9}{4} ^{2}$ × $4^{2}$ × 3²×1                [$\frac{a}{b}^{-m} = \frac{b}{a}^{m}$] [$a^{0}=1$ (where a is a non-zero number)]

⇒$\frac{81}{16}$ × 16 × 9

⇒729

I hope this will help you

Answer 2

Step-by-step explanation:

729

\frac{4}{9}^{-2}

9

4

−2

× \frac{1}{4}^{-2}

4

1

−2

× \frac{1}{3^{-2}}

3

−2

1

× \begin{gathered}\frac{17}{18}^{0}\\\end{gathered}

18

17

0

⇒\frac{9}{4} ^{2}

4

9

2

× 4^{2}4

2

× 3²×1 [\frac{a}{b}^{-m} = \frac{b}{a}^{m}

b

a

−m

=

a

b

m

[a^{0}=1a

0

=1 (where a is a non-zero number)]

⇒\frac{81}{16}

16

81

× 16 × 9

⇒729

I hope this will help you