To solve the expression [tex]\( 6^x(4+y) \)[/tex], we need to follow these steps:
1. Understand the given problem:
- You are given an expression [tex]\( 6^x(4+y) \)[/tex] which comprises two parts: an exponential part and a linear part inside the parentheses.
- The expression consists of a base [tex]\( 6 \)[/tex] raised to the power of [tex]\( x \)[/tex], and then multiplied by the sum of 4 and [tex]\( y \)[/tex].
2. Identify the components:
- [tex]\( 6^x \)[/tex]:
- Here, 6 is the base and [tex]\( x \)[/tex] is the exponent.
- [tex]\( (4 + y) \)[/tex]:
- This is a linear expression indicating the sum of 4 and a variable [tex]\( y \)[/tex].
3. Combine the components:
- The problem asks us to multiply the two parts together, which means we need to express the multiplication of [tex]\( 6^x \)[/tex] by [tex]\( (4 + y) \)[/tex].
4. Write the final expression:
- Simply combine the parts as given. There is no further simplification needed because we don’t have specific numerical values for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
So, the final detailed solution for the expression is the expression itself:
[tex]\[ 6^x(4+y) \][/tex]
This provides us with the appropriately simplified form of the expression, keeping it in terms of the given variables.
