To convert the radical to exponential form, we follow the rules given below.
Writing expressions in rational exponential form :
Problem 1 :
(√5)^{3}
Solution :
Since it is square root, we have to write 1/2 as exponent.
When we have power raised to another power, we can multiply the powers.
Problem 2 :
(∜4)^{2}
Solution :
Since it is fourth root, we have to write 1/4 as exponent.
When we have power raised to another power, we can multiply the powers.
Problem 3 :
(∛9)^{2}
Solution :
= (∛9)^{2}
Problem 4 :
(5^{th} root of 10)^{4}
Solution :
= (5^{th} root of 10)^{4}
Problem 5 :
(√15)^{3}
Solution :
= (√15)^{3}
Problem 6 :
(∛27)^{4}
Solution :
= (∛27)^{4}
Simplify the following :
Problem 7 :
(∛x⋅√x^{5}) / √25x^{16}
Solution :
Problem 8 :
∜(81x^{5 }y^{2} z^{8})
Solution :
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM