Question

1/12^-2 using positive exponents​

Answer 1

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}}`