Simplify 10((4*10)÷(6^2-4^2)+1)

$10 (4 \cdot 10 \div (6^{2} - 4^{2}) + 1)$

Multiply $4$ by $10$ .

$10 (40 \div (6^{2} - 4^{2}) + 1)$

Simplify each term.

Rewrite the division as a fraction.

$10 (\frac{40}{6^{2} - 4^{2}} + 1)$

Simplify the denominator.

Raise $6$ to the power of $2$ .

$10 (\frac{40}{36 - 4^{2}} + 1)$

Raise $4$ to the power of $2$ .

$10 (\frac{40}{36 - 1 \cdot 16} + 1)$

Multiply $- 1$ by $16$ .

$10 (\frac{40}{36 - 16} + 1)$

Subtract $16$ from $36$ .

$10 (\frac{40}{20} + 1)$

$10 (\frac{40}{20} + 1)$

Divide $40$ by $20$ .

$10 (2 + 1)$

$10 (2 + 1)$

Simplify the expression.

Add $2$ and $1$ .

$10 \cdot 3$

Multiply $10$ by $3$ .

$30$

$30$

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