Solve x3 = 64 over 27.
±8 over 3
8 over 3
±4 over 3
4 over 3
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OpenStudy (anonymous):
@dan815 @Nnesha
Nnesha (nnesha):
take cube root both sides to cancel out the cube
OpenStudy (anonymous):
how
Nnesha (nnesha):
here is an example \[\huge\rm \sqrt[3]{m^3} = \sqrt[3]{27}\]
OpenStudy (anonymous):
O.o
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OpenStudy (anonymous):
im confuzzled
Nnesha (nnesha):
you can convert root to exponent
cube root of m^3 is same as \[\huge\rm m^{3 \times \frac{ 1 }{ 3 }}\]
then you can cancel out the 3's \[\huge\rm m^{\cancel{3} \times \frac{ 1 }{ \cancel{3 }}}=m\]
that's how you can take cube root both sides to cancel out cube
Nnesha (nnesha):
take cube root both sides !
OpenStudy (anonymous):
*cries*
OpenStudy (anonymous):
idk how
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Nnesha (nnesha):
\[\huge\rm \sqrt[3]{x^3}=\sqrt[3]{\frac{ 64 }{ 27 }}\]
that's how we should take cube root
cube= 3
Nnesha (nnesha):
\[\huge\rm \sqrt[3]{\frac{ a }{ b }}=\frac{ \sqrt[3]{a} }{ \sqrt[3]{b} }\]
Nnesha (nnesha):
take cube root of the numerator and take cube root of the denominator !