Mixed & Entire Radicals
Turn the entire radical sqrt(96) into a mixed radical
4 sqrt(6)
Turn 5^(-3) into a power with a positive exponent
1 / 5^(3)
Evaluate 9^(3/2)
27
Simplify the expression (express your answer with positive exponents)
e^(-3) / e^(-5)
e^(2)
Which of the following is an irrational number?
2/3
9.45454545...
sqrt(10)
sqrt(121)
-3.4
sqrt(10)
Turn the mixed radical 2 sqrt(5) into an entire radical
sqrt(20)
Turn 3^(1/3) into a radical
cube root(3)
Evaluate (-27)^(4/3)
Simplify the expression (express your answer with positive exponents)
x^(1/2) * x^(1/3)
x^(5/6)
Estimate the root to the nearest tenth with benchmarking!
The final answer must include the roots it is between.
sqrt(85)
sqrt(81) sqrt(85) sqrt(100)
Approximately 9.2
Turn the entire radical sqrt(300) into a mixed radical
10 sqrt(3)
Turn 4th root (w)^3 into a power with radical exponents
w^(3/4)
Evaluate (16/9)^(3/2). Keep your answer as a fraction!
64/27
Simplify the expression (express your answer with positive exponents)
(t^(3))^(-2)
1 / t^(6)
Order the following numbers from least to greatest
3 sqrt(4)
cube root (114)
(4 sqrt(52)) / (5)
1. cube root (114)
2. (4 sqrt(52)) / (5)
3. 3 sqrt(4)
Turn the mixed radical 4 sqrt(7) into an entire radical
sqrt(112)
Express 2r^(-2)q^(-3)t^(4) as a power with positive exponents
2t^(4) / r^(2)q^(3)
Evaluate (100/49)^(3/2). Keep your answer as a fraction!
100/343
Simplify the expression (express your answer with positive exponents)
12ab^(3) / 15a^(2)b
4b^(2) / 5a
Show through prime factorization that 144 is a perfect square
(2 x 2 x 3) x (2 x 2 x 3)
Turn the entire radical sqrt(550) into a mixed radical
5 sqrt(22)
Express (-26)^(2/3) as a radical
cube root (-26)^(2)
Evaluate (-8/27)^(-2/3). Keep your answer as a fraction!
9/4
Simplify the expression (express your answer with positive exponents)
((6x^(-2)y^(2)) / (3x^(3)y))^(-4)
x^(20) / 16y^(4)
Show through prime factorization that 216 is a perfect cube
(2 x 3) x (2 x 3) x (2 x 3)