Question

Помогите, пожалуйста, упростить выражения с объяснением 144-148!!!!

Answer 1

Формулы со степенями на картинке

$144) b^sqrt{3}}* (frac{1}{b} )^{sqrt{3} -1}=b^sqrt{3}}* b ^{-(sqrt{3}-1) }=b^sqrt{3}}* b ^{1-sqrt{3} }=b^{sqrt{3}+1-sqrt{3}}=b \ \ 145) b^{1.2}*b^{1.8}:b^2=b^{1.2+1.8-2}=b^1=b \ \ 146) ( frac{1}{x})^{sqrt{2} -1}*x^{sqrt{2}} :x^{-4}=x^{1-sqrt{2} }*x^{sqrt{2}} :x^{-4}=x^{1-sqrt{2}+sqrt{2} -(-4)}=x^5 \ \ a^{sqrt{2} }* ( frac{1}{a})^{sqrt{2} -1}=a^{sqrt{2} }* a^{1-sqrt{2} }=a^{sqrt{2} +1-sqrt{2} }=a \ \ (a^{sqrt{3}} )^{sqrt{3}}=a^{sqrt{3}*sqrt{3}}=a^3$

Answer 2

144) b^{sqrt{3}}*(frac{1}{b})^{sqrt{3}-1}=b^{sqrt{3}}*b^{1-sqrt{3}}=b^{sqrt{3}+1-sqrt{3}}=b\\145) b^{1,2}*b^{1,8}:b^{frac{3{2}}=b^{1,2}*b^{1,8}:b^{1,5}=b^{1,2+1,8-1,5}=b^{1,5}\\146) (frac{1}{x})^{sqrt{2}-1}*x^{sqrt{2}}:x^{-4}=x^{1-sqrt{2}}*x^{sqrt{2}}:x^{-4}=x^{1-sqrt{2}+sqrt{2}+4}=x^{5}\\147) a^{sqrt{2}} *(frac{1}{a})^{sqrt{2}-1} =a^{sqrt{2}}*a^{1-sqrt{2}}=a^{sqrt{2}+1-sqrt{2}}=a\\148) (a^{sqrt{3}})^{sqrt{3}}$=a^{sqrt{3}*sqrt{3}}=a^{3}$

Answer 3

ваш текст не отображается!

Answer 4

нужно вставить $и$