Question

find the value of the expression
$r \div (12^2 - u \times s^t)$
for $r = 32$, $s = 8$, $t = 2$, and $u = 2$.

Explanation:

Step1: Substitute given values

$32 \div (12^2 - 2 \times 8^2)$

Step2: Calculate exponents first

$12^2 = 144$, $8^2 = 64$
Expression becomes: $32 \div (144 - 2 \times 64)$

Step3: Perform multiplication inside parentheses

$2 \times 64 = 128$
Expression becomes: $32 \div (144 - 128)$

Step4: Subtract inside parentheses

$144 - 128 = 16$
Expression becomes: $32 \div 16$

Step5: Do final division

$32 \div 16 = 2$

Answer:

2