Asked by Anonymous
Simplify. All variables represent nonnegative numbers.
1. 3^√8m^3
2. (a^2b^4)^1/23^√b^6
3. 3^√27x^6
1. 3^√8m^3
2. (a^2b^4)^1/23^√b^6
3. 3^√27x^6
Answers
Answered by
Reiny
If you meant: the cube root
∛(8m^3) then you would have
= 2m , not both 8 and m^3 are perfect cubes
2.
very confusing way of typing it, if you represent the square root correctly with an exponent of 1/3, why not represent the cube root with an exponent of 1/3
so we have ...
√(a^2 b^4)* ∛(b^6)
= (a b^2)(b^2)
= a b^4
3.
∛(27x^6)
=3x^2
∛(8m^3) then you would have
= 2m , not both 8 and m^3 are perfect cubes
2.
very confusing way of typing it, if you represent the square root correctly with an exponent of 1/3, why not represent the cube root with an exponent of 1/3
so we have ...
√(a^2 b^4)* ∛(b^6)
= (a b^2)(b^2)
= a b^4
3.
∛(27x^6)
=3x^2
Answered by
Steve
Nice work there.
I remember in college when I read Burton's translation of the 1001 Arabian Nights. He said some of the stories were so convoluted that they required the services of a diviner, rather than an interpreter.
I remember in college when I read Burton's translation of the 1001 Arabian Nights. He said some of the stories were so convoluted that they required the services of a diviner, rather than an interpreter.
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