Question

Can someone help me? I just need to know how to do them. Like maybe some examples close to mine??

Answer 1

Which question do u need help with?

Answer 2

For number 4 the instructions are
Simplify each radical expression. Use absolute values when needed.
All if possible. Even if you can direct me to websites that would help would be great!

Answer 3

it is probably not at all obvious, but \(\sqrt[3]{.008}=0.2\) because \(.2^3=.2\times .2\times .2=.008\)

Answer 4

Okay you can express a cube root like this:

\[(abc)^{1/3}=a^{1/3}b^{1/3}c^{1/3}\]

Answer 5

So for first question take it as

\[(.008)^{1/3}(y^3)^{1/3}(x^6)^{1/3}\]

Answer 6

Now this is easy to approach:

\[((.2)^3)^{1/3}(y^3)^{1/3}(x^6)^{1/3}\]

Now apply \[(a^m)^n=a^{mn}\]

For each term.

Answer 7

.2
y
x^2?

Answer 8

Yeah!!

So answer is product of these 3 terms.

Answer 9

.2*y*x^2

Answer 10

yes :)

Answer 11

Okay great. Could you possibly help with the others?

Answer 12

8 and 9 are very similar to this one. Just remember that square root of x can also be written as x^{1/2}.

Answer 13

What about #6?

Answer 14

Yeah same way x^1/4

Answer 15

So
(32)^1/4 (m7)^1/4 (n^9)^1/4

Answer 16

yeah :)

Answer 17

I'm confused now though.

Answer 18

which one you working on?

Answer 19

really you do not need rational exponents to do this

Answer 20

For those variables where you notice that it is not possible to evenly divide the numerator by the denominator (for the exponent of the said variable), you would want to express it as a surd, e.g. x^(m/n) would be expressed as n√(x^p), where p is the remainder of m/n (i.e. without the quotient).

Answer 21

So if we look at Q6 (for instance) 4√(m^7) = 4√[(m^4)x(m^3)] = [4√(m^4)] x [4√(m^3)] = m[4√(m^3)]

Answer 22

I'm sorry but the way that's written it hard to understand.

Answer 23

@satellite73 #6
I'll be on tomorrow it's quite late now.

Answer 24

@RoseDryer : Are you able to work Q6 out using the example provided earlier?