Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To simplify the expression and rewrite it in the form [tex]\(5^n\)[/tex], follow these steps:
1. Identify the base and exponents: The base in both terms is 5, and the exponents are -8 and -10.
2. Use the properties of exponents: According to the properties of exponents, specifically the multiplication rule for powers of the same base, we have
[tex]\[ a^m \cdot a^n = a^{m+n} \][/tex]
Here, [tex]\(a = 5\)[/tex], [tex]\(m = -8\)[/tex], and [tex]\(n = -10\)[/tex].
3. Add the exponents: Combine the exponents from the terms by adding them together:
[tex]\[ -8 + (-10) = -8 - 10 = -18 \][/tex]
4. Rewrite the expression: Now that we have the exponent sum, rewrite the expression in the simplified form
[tex]\[ 5^{-18} \][/tex]
Hence, the simplified expression is
[tex]\[ \boxed{5^{-18}} \][/tex]
1. Identify the base and exponents: The base in both terms is 5, and the exponents are -8 and -10.
2. Use the properties of exponents: According to the properties of exponents, specifically the multiplication rule for powers of the same base, we have
[tex]\[ a^m \cdot a^n = a^{m+n} \][/tex]
Here, [tex]\(a = 5\)[/tex], [tex]\(m = -8\)[/tex], and [tex]\(n = -10\)[/tex].
3. Add the exponents: Combine the exponents from the terms by adding them together:
[tex]\[ -8 + (-10) = -8 - 10 = -18 \][/tex]
4. Rewrite the expression: Now that we have the exponent sum, rewrite the expression in the simplified form
[tex]\[ 5^{-18} \][/tex]
Hence, the simplified expression is
[tex]\[ \boxed{5^{-18}} \][/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.