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Simplify: [tex]\(27^{-3}\)[/tex]

Sagot :

GinnyAnswer
To compute [tex]\( 27^{-3} \)[/tex]:

1. Understand that raising a number to a negative exponent means you take the reciprocal of the base raised to the positive exponent. So, [tex]\( 27^{-3} = \frac{1}{27^3} \)[/tex].

2. Calculate [tex]\( 27^3 \)[/tex]. To do this, you multiply 27 by itself three times:
[tex]\[ 27^3 = 27 \times 27 \times 27 \][/tex]

3. Once you have the value of [tex]\( 27^3 \)[/tex], take the reciprocal of that number. In other words:
[tex]\[ 27^{-3} = \frac{1}{27^3} \][/tex]

4. Converting your final answer from fraction form to decimal gives:
[tex]\[ 27^{-3} \approx 5.080526342529086 \times 10^{-5} \][/tex]

So, [tex]\( 27^{-3} \approx 5.080526342529086e-05 \)[/tex].
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