Question

resolva as potências ​

Answer 1

Explicação passo-a-passo:

a)

$\sf 5^3=5\cdot5\cdot5$

$\sf 5^3=\red{125}$

b)

$\sf (-5)^3=(-5)\cdot(-5)\cdot(-5)$

$\sf (-5)^3=\red{-125}$

c)

$\sf 5^{-3}=\dfrac{1}{5^3}$

$\sf 5^{-3}=\red{\dfrac{1}{125}}$

d)

$\sf \left(-\dfrac{2}{3}\right)^3=\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)\cdot\left(-\dfrac{2}{3}\right)$

$\sf \left(-\dfrac{2}{3}\right)^3=\red{\dfrac{-8}{27}}$

e)

$\sf \left(\dfrac{1}{50}\right)^{-2}=50^2$

$\sf \left(\dfrac{1}{50}\right)^{-2}=50\cdot50$

$\sf \left(\dfrac{1}{50}\right)^{-2}=\red{2500}$

f)

$\sf \left(-\dfrac{11}{7}\right)^0=\red{1}$

g)

$\sf \left(\dfrac{3}{2}\right)^1=\red{\dfrac{3}{2}}$

h)

$\sf -(-2)^5=-(-2)\cdot(-2)\cdot(-2)\cdot(-2)\cdot(-2)$

$\sf -(-2)^5=-(-32)$

$\sf -(-2)^5=\red{32}$

i)

$\sf -10^2=-10\cdot10$

$\sf -10^2=\red{-100}$

j)

$\sf 10^{-3}=\dfrac{1}{10^3}$

$\sf 10^{-3}=\red{\dfrac{1}{1000}}$

k)

$\sf -\left(-\dfrac{1}{2}\right)^{-2}=-(-2)^{2}$

$\sf -\left(-\dfrac{1}{2}\right)^{-2}=-(-2)\cdot(-2)$

$\sf -\left(-\dfrac{1}{2}\right)^{-2}=\red{-4}$