Question 187677
{{{(5 * 10^4)^2}}} Start with the given expression.



{{{(5^1 * 10^4)^2}}} Rewrite 5 as {{{5^1}}}



{{{5^(1*2) * 10^(4*2)}}} Multiply the outer exponent by EVERY exponent inside the parenthesis.



{{{5^2 * 10^8}}} Multiply the exponents.



{{{25 * 10^8}}} Square 5 to get 25



{{{2.5*10^1 * 10^8}}} Factor 25 into {{{2.5*10^1}}} (ie convert 25 to scientific notation)



{{{2.5*10^(1+8)}}} Multiply {{{10^1}}} and {{{10^8}}} by adding the exponents.



{{{2.5*10^9}}} Add



So {{{(5 * 10^4)^2=2.5*10^9}}}