Question

Qual o valor de (-2 1/2)^3

Answer 1

Resposta:

Explicação passo-a-passo:

(-2. 1/2)^3

(-2/2)^3

-8/8

Answer 2

Resposta:

-1

Explicação passo-a-passo:

PEMDAS

Parênteses

Expoentes

Multiplicar

Dividir

Adicionar

Subtrair

Regra do expoente:

$\displaystyle \mathsf{\left(-2\cdot \frac{1}{2}\right)^3=-\left(2\cdot \frac{1}{2}\right)^3}}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{2*\frac{1}{2}=2^3(\frac{1}{2})^3 }}\\\\\\\displaystyle \mathsf{2^3\left(\frac{1}{2}\right)^3}}\\\\\\\displaystyle \mathsf{2^3=2*2*2=8}}\\\\\\\displaystyle \mathsf{8\left(\frac{1}{2}\right)^3 }\\\\\\\displaystyle \mathsf{(\frac{1}{2})^3=\frac{1}{8} }}\\\\\\\displaystyle \mathsf{8*\frac{1}{8}=1 }}\\\\\\\Rightarrow \Large\boxed{\mathsf{-1}}$