Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Apply the product rule for exponents, if possible.

[tex]\[ g^{14} \cdot h^4 \][/tex]

A. [tex]\( gh^{10} \)[/tex]
B. [tex]\( gh^{18} \)[/tex]
C. [tex]\( g^{56}h \)[/tex]
D. The product rule does not apply.

Sagot :

GinnyAnswer
Let's analyze the given expression [tex]\( g^{14} \cdot h^4 \)[/tex].

The product rule for exponents states that when you multiply like bases, you add the exponents. In mathematical terms, for any bases [tex]\( a \)[/tex] and [tex]\( b \)[/tex] (where [tex]\( a = b \)[/tex]), and exponents [tex]\( m \)[/tex] and [tex]\( n \)[/tex]:
[tex]\[ a^m \cdot a^n = a^{m+n} \][/tex]

However, in the given expression, we have different bases: [tex]\( g \)[/tex] and [tex]\( h \)[/tex]. The bases are not the same, meaning that the product rule for exponents cannot be applied.

Thus, the correct answer is:
D. The product rule does not apply.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.