# How do you write the answer in scientific notation given (2.5times10^-3)^-2?

Feb 9, 2018

(2.5×10^(−3))^(−2)

applying the rule, $\textcolor{b r o w n}{{a}^{- m} = \frac{1}{{a}^{m}}}$

(2.5×10^(−3))^(−2) = 1/(2.5×10^(−3))^(2)

applying the rule, $\textcolor{b r o w n}{{\left(a b\right)}^{m} = {a}^{m} {b}^{m}}$ and $\textcolor{b r o w n}{{\left({a}^{n}\right)}^{m} = {a}^{m n}}$

$= \frac{1}{{2.5}^{2} \times {10}^{- 6}}$

$= \frac{1}{6.25} \times {10}^{6}$

$= 0.16 \times {10}^{6}$

Standard notation $\implies 1.6 \times {10}^{5}$

$- \textcolor{m a \ge n t a}{S a h a r}$