Thank you for visiting Write tex 5 cdot 5 cdot 5 cdot 5 tex in exponential notation A 625 B tex 5 4 tex C tex 5 3 tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To write the expression [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation, you follow these steps:
1. Identify the Base: The base is the number that is being multiplied repeatedly. In this case, the base is [tex]\(5\)[/tex].
2. Count the Multiplications: Count how many times the base (5) is multiplied by itself. Here, 5 is multiplied 4 times.
3. Write in Exponential Notation: Based on the number of times the base is multiplied by itself, you express it using an exponent. So, [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be written as [tex]\(5^4\)[/tex].
Thus, the expression [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation is [tex]\(5^4\)[/tex].
You can also verify by calculating:
- Multiply step-by-step: [tex]\(5 \times 5 = 25\)[/tex],
- Then multiply again: [tex]\(25 \times 5 = 125\)[/tex],
- Finally: [tex]\(125 \times 5 = 625\)[/tex].
So, [tex]\(5^4\)[/tex] equals [tex]\(625\)[/tex]. Therefore, the correct answer is [tex]\(5^4\)[/tex], which corresponds to the value [tex]\(625\)[/tex] in decimal form.
1. Identify the Base: The base is the number that is being multiplied repeatedly. In this case, the base is [tex]\(5\)[/tex].
2. Count the Multiplications: Count how many times the base (5) is multiplied by itself. Here, 5 is multiplied 4 times.
3. Write in Exponential Notation: Based on the number of times the base is multiplied by itself, you express it using an exponent. So, [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] can be written as [tex]\(5^4\)[/tex].
Thus, the expression [tex]\(5 \cdot 5 \cdot 5 \cdot 5\)[/tex] in exponential notation is [tex]\(5^4\)[/tex].
You can also verify by calculating:
- Multiply step-by-step: [tex]\(5 \times 5 = 25\)[/tex],
- Then multiply again: [tex]\(25 \times 5 = 125\)[/tex],
- Finally: [tex]\(125 \times 5 = 625\)[/tex].
So, [tex]\(5^4\)[/tex] equals [tex]\(625\)[/tex]. Therefore, the correct answer is [tex]\(5^4\)[/tex], which corresponds to the value [tex]\(625\)[/tex] in decimal form.
Thank you for reading the article Write tex 5 cdot 5 cdot 5 cdot 5 tex in exponential notation A 625 B tex 5 4 tex C tex 5 3 tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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