Given the expression:
[tex]5\cdot(-7)^2\div7[/tex]
You can rewrite it in this form:
[tex]=\frac{5\cdot(-7)^2}{7}[/tex]
You need to follow these steps in order to find the value of the expression:
1. Solve the Power. Remember that:
[tex](-7)^2=(-7)(-7)=49[/tex]
Then:
[tex]=\frac{5\cdot49}{7}[/tex]
2. Since there is a Multiplication in the numerator, you can try to simplify. Notice that:
[tex]\frac{49}{7}=7[/tex]
Then:
[tex]=5\cdot7[/tex]
3. Finally, you have to solve the Multiplication:
[tex]=35[/tex]
Therefore, the answer is:
[tex]=35[/tex]
