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why is x to the -1 power is equals to 1/x​

Sagot :

ANSWER

Notice that

[tex] {x}^{1} = x \\ x^{2} = (x)(x) \: \tt{or} \: \red{{x}^{2}}\\ {x}^{3} = (x)(x)(x) \: \tt{or} \: \red{ {x}^{3} }[/tex]

If the exponent is positive, then they are being multiplied.

[tex] {x}^{ - 1} = 1 \div x \: \: \tt{or}\: \blue{\frac{1}{x}} \\ {x}^{ - 2} = 1 \div (x)(x) \: \tt{or}\: \blue{\frac{1}{x^{2} }} \\ {x}^{ - 3} = 1 \div (x)(x)(x) \: \tt{or} \: \blue{\frac{1}{ {x}^{3} }}[/tex]

If the exponent is negative , then they are being divided.

[tex] \overbrace{ \underbrace{ \tt{} \purple{ \: \: Stay \: safe \: and \: God \: bless \: you! \: \: }}}[/tex]