Given the expression:
![4\ast(10+7)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1zt1hni9ek7m57rd8ukx3n2rj0mpjp1beb.png)
Let's solve the expression using distributive property.
To use distributive property, distribute the term ouside the parentheses to the terms in the parentheses.
Apply distributive property:
![a\ast(b+c)=ab+ac](https://img.qammunity.org/2023/formulas/mathematics/high-school/qum8f8mpur3weiuw0nqzt98e6413x3qh60.png)
Distribute 4 to the values inside the parentheses:
![\begin{gathered} 4\ast(10+7) \\ \\ =4(10)+4(7) \\ \\ =40+28 \\ \\ =68 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/vrmnsobr2mne8eexi80w4qftdvduq9lp71.png)
ANSWER:
68