Question

^3√56x^14 simplify into radical form

Answer 1

\[\sqrt[3]{56^{14}}\]

Answer 2

Using the product property of exponents: (a^x)(a^y) = a^(x+y)
Do you understand this?

Answer 3

not really no :/

Answer 4

\[(a^{x})*(a ^{y})= a ^{x+y}\]
How about now?

Answer 5

If you are multiplying 2 expressions and they share the same base (a), then you can write it as the base with the sum of the exponents

Answer 6

Kind of, i just dont really understand where the numbers are supposed to go into the formula

Answer 7

For this question you need to find the greatest multiple of 3 (index) that can go into 11. What is that number?

Answer 8

Sorry I meant greatest multiple of (3) that can go into 14

Answer 9

14 is an exponent to 54 though and nothing goes into 14 3 times evenly

Answer 10

The greatest factor of 3 that can go into 14 is 12. Do you know how I got 12?

Answer 11

no

Answer 12

14/3 = 4 with a remainder of 2. Therefore the greatest multiple of 3 that we can get from 14 is 3*(4) = 12 (that does not leave a reaminder)

Answer 13

i just relized i put the question wrong... ^3√56x^14

Answer 14

Oh.

Answer 15

Rewrite:
56 = 8*7
Rewrite x^14 = (x^12)(x^2)
\[\sqrt[3]{(2^{3})*(7)*(x^{12})*(x^{2})}\]

Answer 16

Do you understand how I got this?

Answer 17

yes