Question

2
_______ ^-3
4

Answer 1

is that\[(\frac{ 2 }{ 4 })^{-3}\]

Answer 2

-3 is the exponent.

Answer 3

ok the first thing you have to do is reduce the 2/4 to 1/2. Then you have this expression:\[(\frac{ 1 }{ 2 })^{-3}\]

Answer 4

then you have to remember the rules about negative exponents. Do you know them?

Answer 5

no

Answer 6

Ok here is the rule:\[x ^{-y}=\frac{ 1 }{x ^{y}}\]

Answer 7

For us that translates to:\[\frac{ 1 }{ (\frac{ 1 }{ 2 })^{3} }\]

Answer 8

ok

Answer 9

which simplifies to\[\frac{ 1 }{ \frac{ 1 }{ 8 } }\]which simplifies to 8