Exponent Laws
Solving for exponent values
Mixed and Entire Radical
Simplify with Surds
Rationalize the Denominator
100

This law indicates x^a*x^b=x^(a+b).

What is the product of powers?

100

This is the power of  x  when you simplify the expression (x^2)(x^(-4))(3x)^67 

What is 65?

100

This is the mixed radical form of root()(1000).

What is 10root()(10)?

100

This is the result when you simplify 16root()(44)-16root()(11).

What is 16root()(11) ?

100

This is the expression where the denominator of root()(4)/(root()(3^2-2^3) is rationalized.

What is 2?

300

This is the algebraic expression of the Power of Products.

What is (x^a)^b?

300

This is the power of y when you simplify the expression ((xy)(xy^-13)(x^2y^2))/(x^-12y^-3)^-3 

 

What is -19?

300

This is the entire radical of 12root()(5).

What is root()(720)?

300

Within the real number set, this is the number set to which the result of root(3)(30xx24xx100) belongs.

What is an irrational number?

300

This is the expression when the denominator of 2/(6^(1/3)) is rationalized.

What is root(3)(36)/3?

500

The expression is equivalent to  log_b(a) 

What is log(a)/log(b)?

500

What is the sum of the exponents of x and y when you simplify the expression ((x^-12y^3)^3*root(3)(y^9x^9))/(root(2)(x^4y^-2)) 

What is -35+13=-23?

500

This is the mixed radical of root()(118188) 

What is 6*7root()(67)?

500

This is the result expression when you simplify  2root()(294)-root()(864)+3root()(150)-4root()(486).

What is  -19root()(6) 

500

This is the expression when the denominator of (root()(10)-7)/(root()(10)+4) is rationalized.

What is (-38+11root()(10))/6?