Question

Resolve a sguinte expressão recorrendo as regras das potências:
$(0,4)^{200}$ x $(5/2)^{201}$

Answer 1

Resposta:

(0,4 )²⁰⁰ * (5/2)²⁰¹

(4/10 )²⁰⁰ * (5/2)²⁰⁰ * (5/2)

(4/10*5/2)²⁰⁰ * (5/2)

[(4*5)/(10*2)]²⁰⁰ * (5/2)

[20/20]²⁰⁰ * (5/2)

[1]²⁰⁰ * (5/2)

=1 * 5/2

=5/2

Answer 2

Resposta:

$\frac{5}{2}$

Explicação passo-a-passo:

$(0.4) {}^{200} \times ( \frac{5}{2} ) {}^{201} = ( \frac{4}{10} ) {}^{200} \times ( \frac{5}{2} ) {}^{201} =$

$( \frac{2}{5} ) {}^{200} \times ( \frac{5}{2} ) {}^{201 } = ( \frac{5}{2} ) {}^{ - 200} \times ( \frac{5}{2} ) {}^{201} = ( \frac{5}{2} ) {}^{ - 200 + 201} = \frac{5}{2}$