Posted by **Micah** on Saturday, February 2, 2008 at 1:53pm.

I need to use rational exponents to write the answer to:

the cube root of x times the 4 root of 7x.

there is a rule when the numbers on the radicand are different, yes?

- Algebra multiplying sq rt -
**Micah**, Saturday, February 2, 2008 at 1:55pm
I multiply the sq rt numbers to get 12 yes? and then do I multiply the x times 7x to get 7x^7?

- Algebra multiplying sq rt -
**Damon**, Saturday, February 2, 2008 at 2:02pm
x^(1/3) * (7x)^(1/4)

= x^(1/3) * 7^(1/4) * x^(1/4)

= 7^(1/4) * x(1/3 + 1/4)

= 7^(1/4) * x (7/12)

In other words, when you multiply you add exponents

think

10^1 * 10^2 = 10^3 = 1,000

like you know that

10 * 100 = 1000

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