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Mathematics 16 Online
OpenStudy (gabbyalicorn):

(9^-6)= 9 ^?

OpenStudy (gabbyalicorn):

OpenStudy (gabbyalicorn):

Will fan and medal!!!!

OpenStudy (mrnood):

When you have two 'powers' you can multiply them together \[x ^{m ^{n}} = x ^{m*n}\] for example \[3^{4^{3}} =3^{4*3} = 4^{12}\] see if you can apply that rule to YOUR expression....

OpenStudy (gabbyalicorn):

Okay, ill try...

OpenStudy (gabbyalicorn):

wait but why did you change the 3 to a 4

OpenStudy (mrnood):

OOPS sorry 3^12 is correct

OpenStudy (gabbyalicorn):

ok no worries!

OpenStudy (gabbyalicorn):

so 9 ^-36 ?

OpenStudy (gabbyalicorn):

@MrNood did i do it correctly?

OpenStudy (mrnood):

so you have \[(9^{-6})^{3}\] so MULTIPLY the 'exponents' (the -6 and the 3)

OpenStudy (gabbyalicorn):

oh! I was doing 6 x 6 x 6 now my answer is 9^18

OpenStudy (gabbyalicorn):

^-18*

OpenStudy (mrnood):

correct (with the 'minus sign') well done

OpenStudy (gabbyalicorn):

:) Thank you!

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