SOLUTION: what is the exponential form of the expression: cube root of 125t^3d^7.

Question 1175709: what is the exponential form of the expression:
cube root of 125t^3d^7.

Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the expression, as i understand it, is:

125 * t^3 * d^7

you want to take the cube root of that expression.

the expression becomes:

(125 * t^3 * d^7) ^ (1/3)

this simplified as:

125^(1/3) * (t^3)^(1/3) * (d^7)^(1/3).

that simplifies to:

5 * t * d^(7/3)

you can confirm this is true by assigning random values to t and d and evalucating both the original expression and the final expression.

if they yield the same answer, then there is a high probability that the conversion was done successfully.

i used 7 for t and 4 for d and evaluated the original expression and the final expression and determined they were the same.\

this confirmed the conversion was correct and that the original expression and the final expression were equivalent.

in general, the exponential form of the cube root funcion is the value under the cube root sign raised to the 1/3 power.

example, cube root of 125 is equal to 5 becomes 5 ^ 3 = 125.

here's a reference.

http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U16_L1_T3_text_final.html

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

what is the exponential form of the expression:
cube root of 125t^3d^7.

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