Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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].
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.