Question

упростите выражения 1) x¹⁰:(x¹⁰:x⁵) 2) x¹⁸*(x⁹:x⁷) 3) (x⁴*x³):(x³*x²) 4) (x¹⁶:x⁸):x⁴*x²​

Answer 1

$1)\\x^1^0\div(x^1^0\div x^5)=x^1^0 \div x^1^0^-^5=x^1^0 \div x^5=x^1^0^-^5=x^5\\2)\\x^1^8(x^9 \div x^7)=x^1^8x^9^-^7=x^1^8x^2=x^1^8^+^2=x^2^0\\3)\\(x^4x^3)\div (x^3x^2)=x^4^+^3 \div x^3^+^2=x^7 \div x^5=x^2\\4)\\(x^1^6 \div x^8)\div x^4x^2=x^1^6^-^8 \div x^4^-^2=x^2 \div x^2 = 1$