The fraction as an expression using a negative exponent other than -1.
[tex]\frac{1}{15^{6}}[/tex] is [tex]15^{-6}[/tex] . correct option B.
Step-by-step explanation:
We have the following steps to write the fraction as an expression using a negative exponent other than -1 [tex]\frac{1}{15^{6}}[/tex] .
⇒ [tex]\frac{1}{15^{6}}[/tex]
⇒ [tex]\frac{(1)^{6}}{(15)^{6}}[/tex]
⇒ [tex](\frac{1}{15})^{6}[/tex]
⇒ [tex](\frac{1}{15})^{6} (\frac{15}{15})^{-6}[/tex]
⇒ [tex](\frac{(15)^{-6}}{(15)^{6-6}})[/tex]
⇒ [tex]\frac{15^{-6}}{15^{0}}[/tex]
⇒ [tex]\frac{(15)^{-6}}{1}[/tex]
⇒ [tex]15^{-6}[/tex]
∴ The fraction as an expression using a negative exponent other than -1.
[tex]\frac{1}{15^{6}}[/tex] is [tex]15^{-6}[/tex] .
