Question

Qual é o resultado de ( y¹⁰⁰ ÷ y-³⁷ × y-³⁸) ½

Answer 1

Resposta:

y⁹⁹/2

Explicação passo-a-passo:

$\left(\frac{y^{100}}{y^{-37}}y^{-38}\right)\frac{1}{2}$

$=\frac{1}{2}y^{-38}y^{100-\left(-37\right)}\\=\frac{1}{2}\cdot \frac{1}{y^{38}}y^{100-\left(-37\right)}\\=y^{100+37}\frac{1}{y^{38}}\cdot \frac{1}{2}\\=\frac{1}{2}\cdot \frac{1}{y^{38}}y^{137}\\=\frac{1\cdot \:1\cdot \:y^{137}}{y^{38}\cdot \:2}\\=\frac{y^{137}}{2y^{38}}\\=\frac{y^{137-38}}{2}\\=\frac{y^{99}}{2}$