Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Complete the equation by supplying the missing exponent:

[tex]\[3^1 \cdot 3^{-6} = 3^x\][/tex]

A. [tex]\(8\)[/tex]

B. [tex]\(-3\)[/tex]

C. [tex]\(4\)[/tex]

D. [tex]\(-8\)[/tex]

Sagot :

GinnyAnswer
To complete the equation [tex]\(3^1 \cdot 3^{-6} = 3^x\)[/tex], we need to determine the missing exponent [tex]\(x\)[/tex].

1. Consider the expression on the left side of the equation: [tex]\(3^1 \cdot 3^{-6}\)[/tex].

2. Use the property of exponents that states [tex]\(a^m \cdot a^n = a^{m+n}\)[/tex]. In this context:
[tex]\[ 3^1 \cdot 3^{-6} = 3^{1 + (-6)} \][/tex]

3. Simplify the exponent:
[tex]\[ 1 + (-6) = -5 \][/tex]

4. Therefore, the equation should be:
[tex]\[ 3^1 \cdot 3^{-6} = 3^{-5} \][/tex]

So, the missing exponent [tex]\(x\)[/tex] should be [tex]\(-5\)[/tex].
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.