Question

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.

Answer 1

@pooja195

Answer 2

@Hero

Answer 3

so you have

\[(\sqrt[6]{x^5})^7\]

is that correct...?

Answer 4

yessum

Answer 5

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

Answer 6

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

Answer 7

use that law to start

then you need the index law for power of a power.... multiply the powers

\[(x^a)^b = x^{a \times b}\]

Answer 8

okay (so x^5/6)^7

Answer 9

great so now multiply 5/6 by 7


and that will be the power

Answer 10

so 35/6?

Answer 11

@campbell_st