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Use the rules of exponents to evaluate or simplify. Write without negative exponents. (-243)^3/5=___________?

Respuesta :

bradymzimmerp3ccww
The answer would be -27 but since you aren't using negatives, A trick I use is cross the line change the sign. So it would be 1/27 I believe

Answer: The answer is [tex]-27.[/tex]

Step-by-step explanation:  Given expression is

[tex]E=(-273)^\frac{3}{5}.[/tex]

We are given to evaluate the value of the above expression 'E' by using the rules of exponents.

we will be using the following rule of exponents :

[tex](a^b)^c=a^{b\times c}.[/tex]

We have

[tex]E\\\\=(-273)^\frac{3}{5}\\\\\\=\{(-3)^5\}^\frac{3}{5}\\\\\\=(-3)^{5\times\frac{3}{5}}\\\\\\=(-3)^3\\\\=-27.[/tex]

Thus, the required value is -27.

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