Megan and Julie are stuck simplifying radical expressions. Megan has to simplify the quantity of x to the one third power, over x to the one twelfth power. Julie has to simplify the thirty second root of the quantity of x times x to the second times x to the fifth. Using full sentences, describe how to fully simplify Megan and Julie's expressions. Describe if Megan and Julie started with equivalent expressions or if they started with expressions that are not equal.

Question

Mathematics

Ignacio Mcgrath

31 December, 00:07

Megan and Julie are stuck simplifying radical expressions. Megan has to simplify the quantity of x to the one third power, over x to the one twelfth power. Julie has to simplify the thirty second root of the quantity of x times x to the second times x to the fifth. Using full sentences, describe how to fully simplify Megan and Julie's expressions. Describe if Megan and Julie started with equivalent expressions or if they started with expressions that are not equal.

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Miss Kitty · Answer 1

X to the one-third divided by x to the one-twelfth is equal to x to the power of:

1/3-1/12

1/3-1/12

3/12

1/4

Therefore, this is the fourth root of x.

Julie is finding x to the (1+2+5) / 32, or x to the 8/32 power. This simplifies to x^ (1/4), which is also the fourth root of x. Megan and Julie have started with equal expressions.