Express using radical notation: sqrt(6ab)^4/3
(6ab)^2/3
what about for The expression using radical notation: (6ab)^4/3
To express the given expression using radical notation, we need to simplify when the exponent is not a whole number.
Let's break down the expression step by step:
1. Start by applying the exponent to the inside of the parentheses:
(sqrt(6ab))^4/3
2. Next, since the square root is equivalent to raising to the power of 1/2, let's rewrite the expression using fractional exponents:
((6ab)^(1/2))^4/3
3. To simplify this expression, we multiply the exponents:
(6ab)^(4/6)
4. Simplify the fraction exponent:
(6ab)^(2/3)
Finally, expressing the given expression using radical notation, we have:
sqrt((6ab)^(2/3))