## anonymous one year ago Describe how to transform the quantity of the sixth root of x to the fifth power, to the seventh powerinto an expression with a rational exponent. Make sure you respond with complete sentences.

1. anonymous

@pooja195

2. anonymous

@Hero

3. campbell_st

so you have $(\sqrt[6]{x^5})^7$ is that correct...?

4. anonymous

yessum

5. campbell_st

ok do you know how to write fractional roots for radicals..?

6. campbell_st

$\sqrt[a]{x^b} = x^{\frac{b}{a}}$

7. campbell_st

use that law to start then you need the index law for power of a power.... multiply the powers $(x^a)^b = x^{a \times b}$

8. anonymous

okay (so x^5/6)^7

9. campbell_st

great so now multiply 5/6 by 7 and that will be the power

10. anonymous

so 35/6?

11. anonymous

@campbell_st