Question

Представьте числа 5; 25; 125; 625; 1/5; 1/25; 1/125; 1/625;

1) в виде степени с основанием 5;

2) в виде степени с основанием 1/5 .

Answer 1

$a^b=\dfrac{1}{a^{-b}} =\left(\dfrac{1}{a}\right)^{-b}$

$5=\boxed{5^1}=\dfrac{1}{5^{-1}} =\boxed{\left(\dfrac{1}{5}\right)^{-1}}$

$25=\boxed{5^2}=\dfrac{1}{5^{-2}} =\boxed{\left(\dfrac{1}{5}\right)^{-2}}$

$125=\boxed{5^3}=\dfrac{1}{5^{-3}} =\boxed{\left(\dfrac{1}{5}\right)^{-3}}$

$625=\boxed{5^4}=\dfrac{1}{5^{-4}} =\boxed{\left(\dfrac{1}{5}\right)^{-4}}$

$\dfrac{1}{5}=\boxed{\left(\dfrac{1}{5}\right)^{1}}=\dfrac{1}{5^{1}} =\boxed{5^{-1}}$

$\dfrac{1}{25}=\boxed{\left(\dfrac{1}{5}\right)^{2}}=\dfrac{1}{5^{2}} =\boxed{5^{-2}}$

$\dfrac{1}{125}=\boxed{\left(\dfrac{1}{5}\right)^{3}}=\dfrac{1}{5^{3}} =\boxed{5^{-3}}$

$\dfrac{1}{625}=\boxed{\left(\dfrac{1}{5}\right)^{4}}=\dfrac{1}{5^{4}} =\boxed{5^{-4}}$