Question

What is the simplified form of 4 sqrt x^2 times 4 sqrt x^2? ( i think it looks like 4√ײ times 4√ײ )

the answer choices are
x^1/2
x
x^2
√x

Answer 1

Need help

Answer 2

First Tengo que ir a caca .

Answer 3

is it \[\huge\rm \sqrt[4]{x^2} * \sqrt[4]{x^2}\]
4 as an index ?

Answer 4

yes thats it! i couldn't find the thing to do that

Answer 5

alright apply the exponent rule
you can convert radical to an exponent form \[\huge\rm \sqrt[\color{Red}{n}]{x^\color{blue}{m}}=x^\frac{\color{blue}{ m }}{ \color{ReD}{n} }\]index becomes denominator of fraction

Answer 6

the*

Answer 7

so it's x^2/4 ?

Answer 8

yes convert both radical to an exponent fform \[\huge\rm x^\frac{ 2 }{ 4 }*x^\frac{2}{4}\]

Answer 9

and when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

Answer 10

so it's 3x?

Answer 11

I don't understand

Answer 12

how did you get 3 ?

Answer 13

because 2+2 is 4 and 4 over 4 is 1 there are 2 x's so 3x? idk i'm bad at math

Answer 14

alright first we converted radical to an exponent form right
\[\huge\rm \color{ReD}{ \sqrt[4]{x^2}} * \color{blue}{\sqrt[4]{x^2}}\]
\[\huge\rm\color{Red}{x^\frac{ 2 }{ 4 }}*\color{blue}{x^\frac{2}{4}}\]


you can reduce the fraction first 2/4 and then add the exponents

Answer 15

here is an example
\[\huge\rm x^4 *x^4 =x^{4+4}=x^{8}\] we end up with only one base

Answer 16

x^8 is shorthand forx^4 * x^4

Answer 17

so when we combine them we should write it in terms of single base
\[\huge\rm\color{Red}{x^\frac{ 2 }{ 4 }}*\color{blue}{x^\frac{2}{4}}\] \[\huge\rm x^{\frac{2}{4}+\frac{2}{4}}\]

Answer 18

so it's x^2 ?

Answer 19

hmm how did you get 2 ?

Answer 20

\(\color{blue}{\text{Originally Posted by}}\) @madmerc
because 2+2 is 4 and 4 over 4 is 1 there are 2 x's so 3x? idk i'm bad at math
\(\color{blue}{\text{End of Quote}}\)
right 2+2 = 4 and 4/4 =1 that's correct
but there is only one x

Answer 21

so is it just x as the answer?

Answer 22

right which is same as x^1

Answer 23

thank you so much

Answer 24

np :=))