Question

calcule:
A)
${5}^{ - 2?}$
B)
${7}^{ - 1}$
C)(-4)-³

D)(-2)-⁶

Me ajudem velendo 20 pontos.
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Answer 1

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Potência de expoente negativo

$\huge\boxed{\boxed{\boxed{\boxed{\sf\bigg(\dfrac{b}{a}\bigg)^{-n}=\bigg(\dfrac{a}{b}\bigg)^n}}}}$

$\large\boxed{\begin{array}{l}\tt A)\\\sf 5^{-2}=\bigg(\dfrac{5}{1}\bigg)^{-2}=\bigg(\dfrac{1}{5}\bigg)^2=\dfrac{1}{25}\\\tt B)\\\sf7^{-1}=\bigg(\dfrac{7}{1}\bigg)^{-1}=\bigg(\dfrac{1}{7}\bigg)^1=\dfrac{1}{7}\\\tt C)\\\sf(-4)^{-3}=\bigg(-\dfrac{4}{1}\bigg)^{-3}=\bigg(-\dfrac{1}{4}\bigg)^3=-\dfrac{1}{64}\\\tt D)\\\sf(-2)^{-6}=\bigg(-\dfrac{2}{1}\bigg)^{-6}=\bigg(-\dfrac{1}{2}\bigg)^6=\dfrac{1}{64}\end{array}}$