Question

А)5^21*5^-23
Б)3^-8/3^-9
В)(2^-2)^3

Answer 1

$5^{21} * 5^{-23} =5 ^{21+(-23)} = 5^{21-23} = 5^{-2} = \frac{1}{5^2} = \frac{1}{25}$

$\frac{ 3^{-8} }{ 3^{-9} } =3^{-8-(-9)} =3^{-8+9} =3$


$(2 ^{-2})^3=2 ^{(-2)*3} = 2^{-6} = \frac{1}{2^6} = \frac{1}{64}$