Question

Rewrite in simplest rational exponent form √x * 4√x

Answer 1

@welshfella @Nnesha Do you understand this?

Answer 2

you can convert root to an exponent form \[\huge\rm \sqrt[n]{x^m} =x^\frac{ m }{ n }\]
index will become the denominator of the fraction
so you can convert square root to 1/2 exponent

Answer 3

4^1/2?

Answer 4

no 4 isn't under the square root \[\huge\rm \sqrt{x} \times 4\sqrt{x}\] this is ur question
so convert sqrt{x} to exponent form

Answer 5

x^1/2?

Answer 6

yes right \[\huge\rm x^\frac{ 1 }{ 2 } \times 4x^\frac{ 1 }{ 2 }\] now apply the exponent rule when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

Answer 7

4x^2/4?

Answer 8

hmm \[\huge\rm 4x^{\frac{ 1 }{ 2 }+\frac{ 1 }{ 2 }}\]
1/2+1/2= ???

Answer 9

1?

Answer 10

yes right
we should find the common denominator \[\frac{ 1 }{ 2 }+\frac{ 1 }{ 2 }=\frac{ 1+1 }{ 2 }\]
denominator are the same so just ~ADD~ the number in the numerator

Answer 11

2/2

Answer 12

4x^2/2

Answer 13

yes right 2/2 = ?

Answer 14

Do you divide that?

Answer 15

yes right

Answer 16

So, 1?

Answer 17

yes right

Answer 18

So would the answer just be 4x?

Answer 19

yes right!

Answer 20

Thank you for your help

Answer 21

np good work! :=)