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Rewrite the expression in the form a^(n). (1)/(a^(-(5)/(6)))=

Rewrite the expression in the form an a^{n} .\newline1a−56= \frac{1}{a^{-\frac{5}{6}}}=

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Full solution

Q. Rewrite the expression in the form an a^{n} .\newline1a−56= \frac{1}{a^{-\frac{5}{6}}}=
  1. Use Exponent Property: We are given the expression (1)/(a−(5)/(6))(1)/(a^{-(5)/(6)}). To rewrite this expression in the form ana^{n}, we need to use the property of exponents that states (1)/(am)=a−m(1)/(a^{m}) = a^{-m}.
  2. Apply Property of Exponents: Apply the property of exponents to the given expression: 1a−56=a−(−56)\frac{1}{a^{-\frac{5}{6}}} = a^{-\left(-\frac{5}{6}\right)}.
  3. Simplify Exponent: Simplify the exponent by negating the negative exponent: a−(−56)=a56a^{-(-\frac{5}{6})} = a^{\frac{5}{6}}.
  4. Final Expression Form: Now the expression is in the form a(n)a^{(n)}, where nn is 56\frac{5}{6}.

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