We're glad you stopped by Which choice is equivalent to the expression below tex 5 2 tex A tex frac 1 25 tex B 25 C tex frac 1 25. 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 solve the expression [tex]$(-5)^{-2}$[/tex], let's break it down step-by-step.
1. Understand Negative Exponents: A negative exponent means you take the reciprocal of the base. For example, [tex]\( a^{-b} = \frac{1}{a^b} \)[/tex].
2. Apply the Negative Exponent Rule: For the expression [tex]\((-5)^{-2}\)[/tex]:
[tex]\[
(-5)^{-2} = \frac{1}{(-5)^2}
\][/tex]
3. Calculate the Positive Exponent: Now, calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5) \times (-5) = 25
\][/tex]
4. Find the Reciprocal: Since we have [tex]\(\frac{1}{(-5)^2}\)[/tex], now substitute the value we found:
[tex]\[
\frac{1}{25}
\][/tex]
So, [tex]\((-5)^{-2}\)[/tex] is equivalent to [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct choice is [tex]\( C. \frac{1}{25} \)[/tex].
1. Understand Negative Exponents: A negative exponent means you take the reciprocal of the base. For example, [tex]\( a^{-b} = \frac{1}{a^b} \)[/tex].
2. Apply the Negative Exponent Rule: For the expression [tex]\((-5)^{-2}\)[/tex]:
[tex]\[
(-5)^{-2} = \frac{1}{(-5)^2}
\][/tex]
3. Calculate the Positive Exponent: Now, calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5) \times (-5) = 25
\][/tex]
4. Find the Reciprocal: Since we have [tex]\(\frac{1}{(-5)^2}\)[/tex], now substitute the value we found:
[tex]\[
\frac{1}{25}
\][/tex]
So, [tex]\((-5)^{-2}\)[/tex] is equivalent to [tex]\(\frac{1}{25}\)[/tex].
Therefore, the correct choice is [tex]\( C. \frac{1}{25} \)[/tex].
We appreciate you taking the time to read Which choice is equivalent to the expression below tex 5 2 tex A tex frac 1 25 tex B 25 C tex frac 1 25. 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
