Asked by Henry
Compute the following
-7/2 x 9^-3/2 + 3/2 x 9^-5/2 + 14
7/2 is a negative fraction.
the entire fractions are multiplied by 9 raised to their respective exponents. I can't figure this out. Please help?
-7/2 x 9^-3/2 + 3/2 x 9^-5/2 + 14
7/2 is a negative fraction.
the entire fractions are multiplied by 9 raised to their respective exponents. I can't figure this out. Please help?
Answers
Answered by
Steve
Since 9 = 3^2, 9^1/2 = 3
-7/2 * 9^-3/2 = (-7/2) / (9^3/2) = -7/(2*3^3)
3/2 * 9^-5/2 = (3/2) / (9^5/2) = (3/2) / 3^5 = 1/(2*3^4)
So, now we have
-7/(2*3^3) + 1/(2*3^4) + 14
= (-7*3 + 1 + 14*2*3^4)/(2*3^4)
= 2248/162
= 1124/81
-7/2 * 9^-3/2 = (-7/2) / (9^3/2) = -7/(2*3^3)
3/2 * 9^-5/2 = (3/2) / (9^5/2) = (3/2) / 3^5 = 1/(2*3^4)
So, now we have
-7/(2*3^3) + 1/(2*3^4) + 14
= (-7*3 + 1 + 14*2*3^4)/(2*3^4)
= 2248/162
= 1124/81
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.