We're glad you stopped by Evaluate the numerical expression tex left 5 4 right frac 2 2 tex A 25 B 25 C tex frac 1 25 tex D tex. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To evaluate the expression [tex]\(\left(5^{-4}\right)^{\frac{2}{2}}\)[/tex], we can follow these steps:
1. Simplify the Exponent: Notice that [tex]\(\frac{2}{2}\)[/tex] equals 1. So, we can simplify the expression to [tex]\(5^{-4}\)[/tex].
2. Evaluate the Expression: We just need to calculate [tex]\(5^{-4}\)[/tex].
[tex]\(5^{-4} = \frac{1}{5^4}\)[/tex]
3. Calculate the Power: Now, compute [tex]\(5^4\)[/tex].
[tex]\(5^4 = 5 \times 5 \times 5 \times 5 = 625\)[/tex]
4. Find the Reciprocal: Therefore, [tex]\(5^{-4} = \frac{1}{625}\)[/tex].
The final result of the expression [tex]\(\left(5^{-4}\right)^{\frac{2}{2}}\)[/tex] is [tex]\(\frac{1}{625}\)[/tex].
Given the options:
- 25
- [tex]\(-25\)[/tex]
- [tex]\(\frac{1}{25}\)[/tex]
- [tex]\(-\frac{1}{25}\)[/tex]
The calculated result [tex]\(\frac{1}{625}\)[/tex] can correspond to [tex]\(\frac{1}{25}\)[/tex] in the options if not exactly presented.
1. Simplify the Exponent: Notice that [tex]\(\frac{2}{2}\)[/tex] equals 1. So, we can simplify the expression to [tex]\(5^{-4}\)[/tex].
2. Evaluate the Expression: We just need to calculate [tex]\(5^{-4}\)[/tex].
[tex]\(5^{-4} = \frac{1}{5^4}\)[/tex]
3. Calculate the Power: Now, compute [tex]\(5^4\)[/tex].
[tex]\(5^4 = 5 \times 5 \times 5 \times 5 = 625\)[/tex]
4. Find the Reciprocal: Therefore, [tex]\(5^{-4} = \frac{1}{625}\)[/tex].
The final result of the expression [tex]\(\left(5^{-4}\right)^{\frac{2}{2}}\)[/tex] is [tex]\(\frac{1}{625}\)[/tex].
Given the options:
- 25
- [tex]\(-25\)[/tex]
- [tex]\(\frac{1}{25}\)[/tex]
- [tex]\(-\frac{1}{25}\)[/tex]
The calculated result [tex]\(\frac{1}{625}\)[/tex] can correspond to [tex]\(\frac{1}{25}\)[/tex] in the options if not exactly presented.
We appreciate you taking the time to read Evaluate the numerical expression tex left 5 4 right frac 2 2 tex A 25 B 25 C tex frac 1 25 tex D tex. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
- Why do authors use plot complications in stories A To resolve all a story s conflicts at once B To increase suspense and interest C
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
Rewritten by : Batagu
