Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

please help just a few questions.

OpenStudy (anonymous):

whats the question?

OpenStudy (anonymous):

Choose the correct simplification of 7 over x to the power of negative 2. x to the 2nd power over 7 7x2 7 over x to the 2nd power Already simplified

OpenStudy (anonymous):

\[Given: \frac{ 7 }{ x ^{-2} }\] \[Choices: \frac{ x^2}{ 7 } or 7x^2 or \frac{ 7 }{ x^2 } \] or already simplified When you have a negative power you can flip it to the opposite side of the fraction and make it positive. So which choice would that be?

OpenStudy (anonymous):

Not quite you only want to flip the part that has the negative power on it. The 7 does not have a negative power on it so it would stay put.

OpenStudy (anonymous):

Also not right, let me try to explain a little more. Negative exponents are like dividing so \[x^{-2}\] is like saying \[\frac{ 1 }{ x*x }\] So in this case you have \[\frac{ 7 }{ \frac{ 1 }{ x*x }}\] To kind of expand it again you can also say you have: \[\frac{ \frac{ 7 }{ 1 } }{ \frac{ 1 }{ x*x } }\] So you are dividing two fractions to divide to fraction you simply flip the bottom one and multiply them. \[\frac{ 7 }{1} * \frac{ x*x }{ 1 }\] The ones just disappear and you get: \[7*x*x\]

OpenStudy (anonymous):

Well let me show you something neat.\[\frac{1}{x^{-a}} = x^{a}\]

OpenStudy (anonymous):

so b

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!