Question

Multiply or divide as indicated. x^ 4 • x^ -2

Answer 1

According to the rule of indices if in a product indices have same bases we just add the powers .
Hence a^m × a^n = a^ m+n
Therefore X^4 × X^-2 = X^4+(-2) = X^4-2 = X^2

Answer 2

$hey \: mate \: here \: is \: your \: answer \\ \\ firstly \: multiply \: so \: \\ {x}^{4} \times { x}^{2} = {x}^{4 + 2} = {x}^{6} why \: when \: the \: \\ bases \: are \: same \:then \: we \: should \: to \\ \: \: do \: sum \: of \: their \: power. \\ second \: division - \\ = \frac{ {x}^{4} }{ {x}^{2} } = {x}^{4 - 2} = {x}^{2} \: while \: we \: divide \: \\ a \: number \: if \: their \: bases \: are \: same \: \\ so \: we \: should \: to \: do \: their \: subtraction \: of \: their \: powers$