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The question, Please explain in steps below! xoxo

The equation if not clear below is: 8/125^-2/3

/ = the division symbol
^ = to the power of


(8)/(125) ^(-2){3}

User Nelly
by
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1 Answer

4 votes

Answer:

25/4

Explanation:

We assume you mean ...


\left((8)/(125)\right)^(-2/3)

and you want it simplified. It helps to recognize that 8 and 125 are cubes.


\left((2^3)/(5^3)\right)^(-2/3)=\left((2)/(5)\right)^(-2)=(5^2)/(2^2)=(25)/(4)

___

The applicable rules of exponents are ...

(a^b)^c = a^(b·c)

a^(-b) = 1/(a^b)

_____

If you do this problem on a calculator, you need to pay attention to required grouping symbols, parentheses. Both the fraction and the exponent need to be enclosed in parentheses.

The problem you have written in text form (8/125^-2/3) is ...


(\left((8)/(125^(-2))\right))/(3)=(125000)/(3)=41666(2)/(3)

The question, Please explain in steps below! xoxo The equation if not clear below-example-1
User Styler
by
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