165k views
2 votes
(gh)^0 I'm very confused can you show me how to solve this

(gh)^0 I'm very confused can you show me how to solve this-example-1
User Pdubbs
by
3.9k points

1 Answer

2 votes

The expression is:


(9d^(10))^(-2)

Simplify the expression:

1. Multiply the exponent outside the parenthesis with every exponent inside the parenthesis,


\begin{gathered} (9d^(10))^(-2)=9^2d^((-10)*2) \\ (9d^(10))^(-2)=9^(-2)d^(-20) \end{gathered}

Since, exponents in negative form are express as fraction with 1 as numerator.


\begin{gathered} \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=9^(-2)d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=(1)/(9^2)* d^{\mleft\{-20\mright\}} \\ \mleft(9d^{\mleft\{10\mright\}}\mright)^{\mleft\{-2\mright\}}=(1)/(81)^{}d^{\mleft\{-20\mright\}} \end{gathered}

Answer: 1/81d^(-20)

User John Rambo
by
4.1k points