Question

BT2: Tính nhanh

15) \(1000-\left\{\left(-5\right)^3.\left(-2\right)^3-11.\left[7^2-5.2^3+8.\left(11^2-121\right)\right]\right\}\)

Answer 1

\(1000-\left\{\left(-5\right)^3.\left(-2\right)^3-11.[7^2-5.2^3+8.\left(11^2-121\right)]\right\}\)

=\(1000-\left\{[\left(-5\right).\left(-2\right)]^3-11.[7^2-5.2^3+2^3.\left(11^2-11^2\right)]\right\}\)

= \(1000-\left\{1000-11.[7^2-2^3.\left(5+0\right)]\right\}\)

= \(1000-[1000-11.\left(7^2-2^3.5\right)\)

= \(1000-[1000-11.\left(49-40\right)]\)

= \(1000-\left(1000-11.9\right)\)

= \(1000-\left(1000-99\right)=1000-1000+99\)

= 0 + 99 = 99