0

# whats the square root of 49x and x has a exponent of 6

its just dificult

### 5 Answers by Expert Tutors

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
0

### as power of a factor to even number, i,e.  √X 2n  , or odd number as  √X2n+1 .

Jon G. | Patient knowledgeable STEM educator/former healthcare practitionerPatient knowledgeable STEM educator/form...
4.9 4.9 (7 lesson ratings) (7)
0

Juniper...let me add a small element you should know, when it comes to solving problems with a coefficient and a variable(I'm assuming you know what these terms are...). Rule/Skill 1: when solving the power of an expression(finding the square...cubed...root...etc) of an expression...separate the expression into the constants(values you know) and the variables(values you don't know), in your case. /49x^6 basically the square root of the expression 49 x to the 6th power. This is the same as 49 times x to the 6th power and can be written like this /(49) x /(x^6) in this case...I'm using / to represent square root. I'm sure you already know, the square root of 49 is /49 = 7, that's for the knowns. Now, for the unknowns /x^6 which in words is the square root of x to the 6th power. So (some value x) times (some value x) equals x^6. As it turns out, as explained above (x^3) times (x^3) equals x^6 or (x^3)(x^3) = x^6. Finally; /49x^6 = 7x^3 Hope that helps...good luck

Thank you and yes i understand those terms lol (: im just having difficulty because i blew off the beginning of this year. And now this is my last chance to even try and understand Algebra 2. But thank you  this was really helpful.

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
0

In real domain,

sqrt(49x^6) = 7|x^3|

Attn: 7x^3 is incorrect since in real domain sqrt(49x^6) is larger than or equal to 0 even if x < 0.

Matthew S. | Statistics, Algebra, Math, Computer Programming TutorStatistics, Algebra, Math, Computer Prog...
4.9 4.9 (22 lesson ratings) (22)
0

When you enter a question, there is an option in the icon menu to create an exponent... the one marked x2.

You can write 49 x^6 or 49x6.  The latter might be better since it looks just like what you're seeing in a textbook.

Brian B. | Making Math Matter...and Easy to Understand! Making Math Matter...and Easy to Underst...
5.0 5.0 (226 lesson ratings) (226)
0

The symbol ^ is called a hat and it is used to indicate an exponent....such as in your question is would look like "What is the square root of 49x^6.....the answer is 7x^3....depending on your teacher the x^3 should be in absolute value symbols because you took the even root of an even exponent and its result was an odd exponent.