Question 207174
1. m^3 x n^3 (x is times symbol)
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{{{m^3 * n^3 = (m*n)^3}}}
example:
{{{5^3 * 7^3 = (5*7)^3}}}
{{{5^3 = 125}}}
{{{7^3 = 343}}}
{{{125*343 = 42875}}}
{{{(5*7)^3 = (35)^3 = 42875}}}
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2. 2(square root symbol) + 3(square root symbol) x 
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i think what you are saying here is {{{2 * sqrt(x) + 3 * sqrt(x)}}}
if so, this would be equal to {{{(2 + 3) * sqrt(x)}}} which would be equal to {{{5 * sqrt(x)}}}
example:
{{{2 * sqrt(225) + 3*sqrt(225)}}} = {{{2*15 + 3*15}}} = {{{30 + 45}}} = {{{75}}}
{{{(2+3)*sqrt(225)}}} = {{{5*sqrt(225)}}} = {{{5*15}}} = {{{75}}}
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3. x^2-x^3
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{{{x^2 - x^3}}} = {{{x^2 * (1 - x)}}}
example:
{{{(5^2 - 5^3)}}} = {{{(5^2 * (1 - 5))}}} = {{{(25 * (-4)) }}} = {{{(-100)}}}
{{{5^2 = 25}}}
{{{5^3 = 125}}}
{{{(25 - 125) = (-100)}}}
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4.(x+y)^5
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(x+y)^4 
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i believe this is {{{((x+y)^5)/((x+y)^4)}}} which is equal to {{{(x+y)^(5-4)}}} which is equal to {{{(x+y)^1}}} which is equal to {{{(x+y)}}}
example:
{{{((5 + 6)^5) / ((5 + 6)^4)}}} = {{{(11^5)/(11^4)}}} = {{{161051/14641}}} = {{{11}}}
{{{(11^5)/(11^4)}}} = {{{11^(5-4)}}} = {{{11^1}}} = {{{11}}}
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