Hi there! The answer is 30.
We need to use PEMDAS to simplify.
P = parenthesis
E = Exponents
M = Multiply
D = Dividing
A = Adding
S = Subtracting
[tex]10(4 \times 10 \div ( {6}^{2} - {4}^{2} ) + 1)[/tex]
First find the exponents inside the middlest parenthesis.
[tex]10(4 \times 10 \div (36 - 16) + 1)[/tex]
Now add inside the parenthesis.
[tex]10(4 \times 10 \div 20 + 1)[/tex]
Multiply inside the parenthesis that are left.
[tex]10(40 \div 20 + 1)[/tex]
Divide inside the parenthesis
[tex]10(2 + 1)[/tex]
Add inside the parenthesis.
[tex]10(3)[/tex]
Multiply.
[tex]30[/tex]
~ Hope this helps you!