SOLUTION: Simplifying rational exponents; negative exponents and fractional bases. I don't understand these problems and need step by step instruction to complete remaining homework. Need

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Question 948626: Simplifying rational exponents; negative exponents and fractional bases. I don't understand these problems and need step by step instruction to complete remaining homework. Need to simplify and write without exponents. Please and thank you.
(1/25)^3/2=?
64^-2/3
I appreciate your assistance with the step by step instruction. :)
Found 3 solutions by Fombitz, MathLover1, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

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.
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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
1.
-> exponent means square root of a number to the power of
so, you have

=
=
=
=
=
=
in decimal form:

2.
here you have negative exponent and to get positive exponent write inverse:
so, you have

=
=...you can write as ,then
=
=
=
or as decimal


Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Simplifying rational exponents; negative exponents and fractional bases. I don't understand these problems and need step by step instruction to complete remaining homework. Need to simplify and write without exponents. Please and thank you.
(1/25)^3/2=?
64^-2/3
I appreciate your assistance with the step by step instruction. :)


I.



 -------  is the same as 

 ------ Exponents are multiplied when raising an expression with the same base

                    to another power (- 2 being raised to the )

_____________





II.

______________________________ 

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