❒ Question -:
Change the negative exponents in to positive exponent.
[tex] \small\rm{ {5}^{ - 7} } [/tex]
❒ Explanation -:
According to law of exponent whenever the power of a exponent is negative we will reciprocal the number.
[tex] \small\rm{ {5}^{ - 7} = \dfrac{1}{ {5}^{7} }} [/tex]
❒ Additional Information -:
Laws of exponent :
[tex] \small\rm{1) \: {x}^{m} \times {x}^{n} = {x}^{m + n} } [/tex]
[tex] \small\rm{2) \: \dfrac{ {x}^{m} }{ {x}^{n} } = {x}^{m - n} \: \: \: \: \: \: \: \: \sf{[if \: m>n}] } [/tex]
[tex] \small\rm{3) \: \dfrac{ {x}^{m} }{ {x}^{n} } = \dfrac{1}{ {x}^{n - m} } \: \: \: \: \: \: \: \: \: \sf{[if \: n>m]} } [/tex]
[tex] \small\rm{4) \: ( {x}^{m} {)}^{n} = {x}^{mn} } [/tex]
[tex] \small\rm{5) \: {x}^{0} = 1} [/tex]
