Question

Evaluate (512)
${512}^{ - 2 \div 9}$

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Answer 1

Answer:

we know

512 can be written as 2⁹

therefore we can make the equation as

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

here we can cancel both 9

as

(a^m)^n=a^m×n

that is

${2}^{9 \times \frac{ - 2}{9} } \\ {2}^{ - 2}$

and the answer is

${2}^{ - 2}$

we can write it as

0.25

hope it helps