Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.