How do you simplify $x^{n + 2} \div x^{n - 3}$ $x^(n+2) div x^(n-3)$ ?

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Answer 1 · 2016-03-20T11:43:34

$x^{5}$ $x^5$

$x^{n + 2} \div x^{n - 3}$ $color(blue)(x^(n+2)-:x^(n-3)$

Remember the law of exponents $x^{y} \div x^{z} = x^{y - z}$ $color(brown)(x^y-:x^z=x^(y-z)$

$:.x^(n+2)-:x^(n-3)=x^((n+2)-(n-3))$

$rarrx^(n+2-n+3)$

Gather up the like terms

$rarrx^((n-n)+2+3)$

$rarrx^(2+3)$

$color(green)(rArrx^5$

How do you simplify x^(n+2) div x^(n-3)xn+2÷xn−3x^(n+2) div x^(n-3)?