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clara1223
 one year ago
Simplify (the answer shouldn't have any negative exponents)
clara1223
 one year ago
Simplify (the answer shouldn't have any negative exponents)

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clara1223
 one year ago
Best ResponseYou've already chosen the best response.0\[\left( \frac{ 3 }{ 2 } \frac{ x ^{12}x ^{8}y ^{10} }{ x ^{5}y ^{4}y ^{7} }\right)^{3}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1If we apply the rules of multiplication and division of power with same basis, we get: \[\Large {\left( {\frac{3}{2}{x^{  12 + 8  5}}{y^{10  4  \left( {  7} \right)}}} \right)^{  3}}\]

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0First, focus on the exponents. then we apply one of the laws of exponents, which generally has the form: \(\huge (\frac{p^n}{q^m})^r = \frac{p^{n+r}}{q^{n+r}}\)

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0CAN you perform the indicated operation for the exponent portion in your problem?

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0@nincompoop no, I don't know much about exponential equations

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\(\color{blue}{\text{Originally Posted by}}\) @nincompoop First, focus on the exponents. then we apply one of the laws of exponents, which generally has the form: \(\huge (\frac{p^n}{q^m})^r = \frac{p^{n+r}}{q^{n+r}}\) \(\color{blue}{\text{End of Quote}}\) n+r or n times r mhm i guess you meant \[\huge\rm (\frac{ p^n }{ p^m })^r = \frac{ p^{nr} }{ q^{mr} }\] ??

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0so do I multiply all of the exponents and the 3/2 in the parentheses by 3?

clara1223
 one year ago
Best ResponseYou've already chosen the best response.0(i meant give 3/2 an exponent of 3)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2when you multiply same bases then you should add their expnents you need to know exponent rules first one is \[\huge\rm \frac{ x^m }{ x^n } = x^{mn}\] if there are same bases at the numerator and at the denominator move exponent frm bottom to top or top to bottom(remember there shouldn't be any negative exponent) 2nd rule \[\huge\rm (\frac{ x^m }{ y^n })^r = \frac{ x^{m \times r} }{ y^{n \times r}}\] 3rd one is \[\huge\rm { x^{m} }={ \frac{ 1 }{ x^m } }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\(\color{blue}{\text{Originally Posted by}}\) @clara1223 (i meant give 3/2 an exponent of 3) \(\color{blue}{\text{End of Quote}}\) yep \[(\frac{ 3 }{ 2 })^{3}\]
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