We're glad you stopped by Is tex 5 left frac 1 5 3 right 5 left 5 3 right tex Explain A Yes both expressions are equal to 625 B. 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 :
Sure! Let's break down the problem and find out whether the two expressions are equal or not.
We have two expressions to compare:
1. [tex]\(5 \left(\frac{1}{5^3}\right)\)[/tex]
2. [tex]\(5 \left(5^3\right)\)[/tex]
Calculating the first expression:
1. First, calculate [tex]\(5^3\)[/tex].
[tex]\[
5^3 = 5 \times 5 \times 5 = 125
\][/tex]
2. Next, find [tex]\(\frac{1}{5^3}\)[/tex].
[tex]\[
\frac{1}{5^3} = \frac{1}{125}
\][/tex]
3. Now, multiply this result by 5.
[tex]\[
5 \times \frac{1}{125} = \frac{5}{125} = \frac{1}{25} = 0.04
\][/tex]
The value of the first expression is [tex]\(0.04\)[/tex].
Calculating the second expression:
1. Again, calculate [tex]\(5^3\)[/tex].
[tex]\[
5^3 = 125
\][/tex]
2. Now, multiply this result by 5.
[tex]\[
5 \times 125 = 625
\][/tex]
The value of the second expression is [tex]\(625\)[/tex].
Comparison:
- The first expression evaluates to [tex]\(0.04\)[/tex].
- The second expression evaluates to [tex]\(625\)[/tex].
Clearly, [tex]\(0.04\)[/tex] is not equal to [tex]\(625\)[/tex].
Therefore, the correct answer is:
No; The first expression is equal to [tex]\(\frac{1}{25}\)[/tex] (or 0.04) and the second expression is equal to 625.
We have two expressions to compare:
1. [tex]\(5 \left(\frac{1}{5^3}\right)\)[/tex]
2. [tex]\(5 \left(5^3\right)\)[/tex]
Calculating the first expression:
1. First, calculate [tex]\(5^3\)[/tex].
[tex]\[
5^3 = 5 \times 5 \times 5 = 125
\][/tex]
2. Next, find [tex]\(\frac{1}{5^3}\)[/tex].
[tex]\[
\frac{1}{5^3} = \frac{1}{125}
\][/tex]
3. Now, multiply this result by 5.
[tex]\[
5 \times \frac{1}{125} = \frac{5}{125} = \frac{1}{25} = 0.04
\][/tex]
The value of the first expression is [tex]\(0.04\)[/tex].
Calculating the second expression:
1. Again, calculate [tex]\(5^3\)[/tex].
[tex]\[
5^3 = 125
\][/tex]
2. Now, multiply this result by 5.
[tex]\[
5 \times 125 = 625
\][/tex]
The value of the second expression is [tex]\(625\)[/tex].
Comparison:
- The first expression evaluates to [tex]\(0.04\)[/tex].
- The second expression evaluates to [tex]\(625\)[/tex].
Clearly, [tex]\(0.04\)[/tex] is not equal to [tex]\(625\)[/tex].
Therefore, the correct answer is:
No; The first expression is equal to [tex]\(\frac{1}{25}\)[/tex] (or 0.04) and the second expression is equal to 625.
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