507,413 views
11 votes
11 votes
1/12^-2 using positive exponents​

User Tisa
by
3.0k points

1 Answer

7 votes
7 votes

SOLVING


\Large\Box\underline{\textsf{A. What is Asked}}

Evaluate
\bf{(1)/(12^(-2))}


\Large\Box\underline{\textsf{B. This problem has been solved!}}


\boxed{\begin{minipage}{9cm} \text{If we have negative exponents in the denominator} \\ \text{we turn over the number,} \\ \text{leaving positive exponents only.} \end{minipage}}

Thus,


\bf{(1)/(12^(-2))=(12^2)/(1)}. | see, the negative exponent turned into a positive one as soon as the fraction was turned over.


\bf{144}


\cline{1-2}


\bf{Result:}


\bf{=144}

Extra information
\curvearrowright


\begin{tabular}c  Expression & Exponent Rule\\\cline{1-2} \\ x^m*x^n & add the powers \\ x^m/ x^n & subtract the powers \\(x^m)^n & multiply the powers \\ x^(-m) & turn over the number \\ x^0 & this equals one\end{tabular}


\LARGE\boxed{\bf{aesthetic\\ot1\theta\ell}}

User Omninonsense
by
3.0k points