Question

ть 8 клас дуже буду вдячний

Answer 1

Объяснение:

${ x}^{5} \times {x}^{ - 2} = {x}^{5 - 2} = {x}^{3} \\ {x}^{ - 2} \times {x}^{ - 7} = {x}^{ - 2 - 7} = {x}^{5} \\ {x}^{7} \div {x}^{ - 2} = {x}^{7 + 2} = {x}^{9} \\ ( {x}^{4} ) {}^{ - 3} = {x}^{4 \times ( - 3)} = {x}^{ - 12}$

Answer 2

Здесь опираемся на известные формулы:

$n^xn^y = n^{x+y}\\\\n^x:n^y = n^{x-y}\\\\(n^x)^y = n^{x*y}$

а)

$x^5x^{-2} = x^{5+(-2)} = x^{5-2} = x^3$

б)

$x^{-2}x^{-7} = x^{-2+(-7)} = x^{-2 - 7} = x^{-9}$

в)

$x^7:x^{-2} = x^{7-(-2)} = x^{7 + 2} = x^9$

г)

$(x^4)^{-3} = x^{4*(-3)} = x^{-12}$