Question

Calcule o valor das expressões:

a)
$100 \times \frac{1}{5 {}^{2} }$
b)
$80 \times \binom{5}{2} {}^{3}$
d)
$\frac{1}{3} \times (0.3) {}^{2}$
e)
$200 \times (0.04) {}^{4}$

Answer 1

a) 100 x $\frac{1}{5}$
$\frac{100}{25}$
100 dividido por 25 é 4
b) 80 X $\frac{15}{8}$
$\frac{1200}{8}$
1200 dividido por 8 é 150
d) $\frac{1}{3}$ x $\frac{0,027}{1}$
$\frac{0,027}{3}$
e) $\frac{200}{1}$ x $\frac{0,00000256}{1}$
$\frac{0,000512}{1}$

Answer 2

a
100 * 1/(5² )=
100 * (1/25)  =
100/25 =  4 **** resposta
b
80 * ( 5/2)³= 80 * 125/8 =  10 000/8 = 1 250 ***** resposta
Nota
(5/2)³ = ( 5 * 5 * 5)/ ( 2 * 2 * 2 ) =125/8
c
1/3 * ( 0,3)²   =
1/3 * (3/10)²
nota
( 3/10)² = 3/10 * 3/10  =9/100
reescrevendo
1/3 *  9/100  = 9/300 =  3/100 **** resposta
d
200 * ( 0,04)⁴ =
200 * ( 4/100)⁴
NOTA
( 4/100)⁴  =POR 4 =  ( 1 /25 )⁴ = 1/25 * 1/25 * 1/25 * 1/25 = 1/390625
REESCREVENDO
200 *  1/390 625 = 200/390 625 =POR 25 =  8/15 625 ***** RESPOSTA