Question

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

Answer 1

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 2

Answer: The answer is $-27.$

Step-by-step explanation:  Given expression is

$E=(-273)^\frac{3}{5}.$

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 :

$(a^b)^c=a^{b\times c}.$

We have

$E\\\\=(-273)^\frac{3}{5}\\\\\\=\{(-3)^5\}^\frac{3}{5}\\\\\\=(-3)^{5\times\frac{3}{5}}\\\\\\=(-3)^3\\\\=-27.$

Thus, the required value is -27.