Question

Simplify. Assume that all letters denote positive numbers.
\[(-3a^{1/4})(9a)^{-3/2}\]

Answer 1

-3a^(1/4)3^-3a^-(3/2)
=-3^-2(a)^(-5/4)

Answer 2

(9a)^-3/2=3^-3a^-3/2

Answer 3

=-3^-2(a)^(-5/4)

Answer 4

\[-3\sqrt[4]{a}*\sqrt{(9a)^-3}=-3\sqrt[4]{a}*\sqrt{1/(9^3a^3)}\]

Answer 5

Guys I'm confused...Where did -5/4 come from? oO

Answer 6

1/4-3/2

Answer 7

angela.....don't hurry ............u can do it........

Answer 8

oh u have expressed 9 as 3^2 and then u have multiplied and then simplified right?

Answer 9

yea........

Answer 10

Kk Thnx ^_^ :)

Answer 11

\[(-3a ^{1/4})(9a)^{-3/2}=(-3a ^{1/4})(3^{2} a)^{-3/2}= (-3a ^{1/4})3^{-3}(a)^{-3/2}\]
\[=-3/81(a ^{1/4})(a)^{-3/2}\]
\[=-1/9(a ^{1/4-3/2})\]
\[=-1/9(a ^{-5/4})\]

Answer 12

\[{-1 \over 9a^{5/4}}\] is the answer

Answer 13

yes...

Answer 14

\[=-1/9a ^{5/4}\]

Answer 15

exactly!,u expresssed in denominator we've put it in numerator...with a negative power :)

Answer 16

how do you put the straight line instead of / for divided by sign in the equation toolbox?