Question

Is my answer correct? I'm suppose to use rational exponents to write ^4sqrt x * ^5sqrt 3x

is this correct? ^20sqrt 3x^9

Answer 1

when you type ^4sqrt do you mean:\[\sqrt[4]{x}\]

Answer 2

\[^4\sqrt x * ^5\sqrt3x\]

Answer 3

ok so what I did first off was change the sqaure roots into fractions so:
x^(1/4) * (3x)^(1/5)

Answer 4

the 5 is suppose to be an exponent of the ^5sqrt 3x
sorry I cant get it to look like the problem

Answer 5

so it would be (sqrt(3x))^5

Answer 6

which would change to (3x)^(5/2)

Answer 7

so than you would have x^(1/4) * (3x)^(5/2)
this probably will help you solve it easier if you change the sqaure roots into fractions.

Answer 8

ok. It still looks confusing to me lol.
I feel like I'm learning a foreign language

Answer 9

yep math can seem that way

Answer 10

\[\sqrt[4]{x} *(\sqrt{3x})^{5}\] is this what it looks like?

Answer 11

the first part is right. the second has no () and the ^5 is before the sqrt

Answer 12

I am changing the 4th root into a fraction by taking the number of times the x is under the radical, and dividing that number by the root

Answer 13

\[\left(\sqrt[4]{x}\right)\left(\sqrt[5]{3x}\right)\]



\[\left(x^{\frac{1}{4}}\right)\left((3x)^{\frac{1}{5}}\right)\]



\[\left(x^{\frac{5}{20}}\right)\left((3x)^{\frac{4}{20}}\right)\]



\[\left(x^5\cdot(3x)^4\right)^{\frac{1}{20}}\]



\[\left(x^5\cdot81x^4\right)^{\frac{1}{20}}\]



\[\left(81x^9\right)^{\frac{1}{20}}\]



\[\sqrt[20]{81x^9}\]