Question

simplify and express the results as a rational number -2/3^2*-2/3^3
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Answer 1

Answer:

The answer is -

Step-by-step explanation:

To simplify and express the results as a rational number $(-2/3)^{2}$ * $(-2/3)^{3}$

= $(-2/3)^{2}$ * $(-2/3)^{3}$

= $(-2/3)^{2}$ X $(-2/3)^{3}$[As sign * represents multiplication(X)]

We know that when bases are equal in multiplication we add the powers of the numbers

That is,

= $(-2/3)^{2 + 3}$

= $(-2/3)^{5}$

As we have to express in rational form so

= -2 X -2 X -2 X -2 X -2/3 X 3 X 3 X 3 X 3

= -32/243(Proper fraction)[rational number]