Question

Determine o valor numérico da expressão:
10º+(-3)².9‐¹ -(1/5).-²

Answer 1

Resposta:

$10 {}^{0} + ( - 3) {}^{2}.9 {}^{ - 1} - ( \frac{1}{5}) {}^{ - 2} = \\ 10 {}^{0} + ( - 3) {}^{2} \times 9 {}^{ - 1}( \frac{1}{5} ) {}^{ - 2} \\ 1 + ( - 3) {}^{2} \times 9 {}^{ - 1} - ( \frac{1}{5}) {}^{ - 2} \\ 10 + ( - 3) {}^{2} \times 9 {}^{ - 1} - ( \frac{1}{5}) {}^{ - 2} \\ 1 + 3 {}^{2} \times 9 {}^{ - 1}( \frac{1}{5}) {}^{ - 2} \\ 10 {}^{0} + ( - 3) {}^{2} \times 9 {}^{ - 1} - ( \frac{1}{5}) {}^{ - 2} \\ 9 {}^{ - 1} \\ (3 {}^{2}) {}^{ - 1} \\ 3 {}^{ - 2} \\ 10 {}^{0} + ( - 3) {}^{2} \times 9 {}^{ - 1} - ( \frac{1}{5}) {}^{ - 2} \\1 + 3 {}^{2} \times 3 {}^{ - 2} - ( \frac{1}{5}) {}^{ - 2} \\ 10 {}^{0} + ( - 3) {}^{2} \times 9 {}^{ - 1} - ( \frac{1}{5}) {}^{2} \\ 1 + 3 {}^{2} \times 3 {}^{ - 2} - 5 {}^{2} \\ 3 {}^{2} \times 3 {}^{ - 2} \\ 3 {}^{2 - 2} \\ 3 {}^{0} \\ 1 \\ 1 + 3 {}^{2} \times 3 {}^{ - 2} - 5 {}^{2} \\ 1 + 1 - 5 {}^{2} \\ 1 + 3 {}^{2} \times 3 {}^{ - 2} - 5 {}^{2} \\ 5 {}^{2} \\ 5 \times 5 \\ 25 \\ 1 + 3 {}^{2} \times 3 {}^{ - 2} - 5 {}^{2} \\ 1 + 1 - 25 \\ 2 - 25 \\ - 23 \\ 1 + 1 - 25 \\ - 23 \\ resposta \\ - 23$