simplificar 9/2 picm^2y^8picm^2

Solução

simplificar

\frac{9}{2} π c m^{2} y^{8} π c m^{2}

\frac{9 π ^{2} c ^{2} m ^{4} y ^{8}}{2}

Passos da solução

\frac{9}{2} π c m^{2} y^{8} π c m^{2}

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

cc = c^{1 + 1}

= \frac{9}{2} π m^{2} y^{8} π c^{1 + 1} m^{2}

Somar:

1 + 1 = 2

= \frac{9}{2} π m^{2} y^{8} π c^{2} m^{2}

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

m^{2} m^{2} = m^{2 + 2}

= \frac{9}{2} π y^{8} π c^{2} m^{2 + 2}

Somar:

2 + 2 = 4

= \frac{9}{2} π y^{8} π c^{2} m^{4}

Aplicar as propriedades dos expoentes:

a^{b} \cdot a^{c} = a^{b + c}

ππ = π^{1 + 1}

= \frac{9}{2} y^{8} π^{1 + 1} c^{2} m^{4}

Somar:

1 + 1 = 2

= \frac{9}{2} y^{8} π^{2} c^{2} m^{4}

Multiplicar frações:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{9 y ^{8} π ^{2} c ^{2} m ^{4}}{2}

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