Activity 12 : Two Sides Of The Same Coin Simplify The Following Expressions. If The Ex…

Activity 12 : two sides of the same coin

simplify the following expressions. if the expression is undefined,write “undefined”.

1.49 raise to ½
2.125 raise to ⅓
3.1000 raise to ⅓
4.(-32) raise to ⅕
5.(-64) raise to⅓
6.(-100) raise to ½
7.(-4) raise to ½
8.-81 raise to ¼

Answer:

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Answer:

SIMPLIFYING EXPRESSIONS

  • TO SOLVE, MAKE THE EXPONENTIAL EQUATION INTO RADICAL EQUATION.
  • EXAMPLE :

[tex]9 {}^{ \frac{1}{2} } = \sqrt[2]{9} = 3[/tex]

  • ANSWER :

1.

[tex]49 {}^{ \frac{1}{2} } = \sqrt[2]{49} = 7[/tex]

2.

[tex]125 {}^{ \frac{1}{3} } = \sqrt[3]{125} = 5[/tex]

3.

[tex]1000 {}^{ \frac{1}{3} } = \sqrt[3]{1000} = 10[/tex]

4.

[tex]( – 32) {}^{ \frac{1}{5} } = \sqrt[5]{( – 32)} = – 2[/tex]

5.

[tex] ( – 64) {}^{ \frac{1}{3} } = \sqrt[3]{ – 64} = – 4[/tex]

6. Undefined

7. Undefined

8. Undefined

  • NOTE :

TO DETERMINE IF IT IS UNDEFINED, IS IF THE NUMBER IS NEGATIVE INSIDE THE RADICAL SIGN, AND HAVE AN INDEX (or the number

outside the radical sign) OF EVEN NUMBER (like

2, 4, 6, 8, 10).

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