Question

The value of 4/9raise to the power -3 multipied by -3/2 raise to the power -3 is equal to

Answer 1

Answer:

The answer is -

Step-by-step explanation:

To find the value $(4/9)^{-3}$ X $(-3/2)^{-3}$

We know that if the powers of the numbers are same in multiplication we multiply the bases with each other

That is,

= $(4/9 X-3/2)^{-3}$

= (2 X -1/3$)^{-3}$

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

We know that when the power of a number is negative(sign) we write reciprocal of the base to make the power positive(sign)

That is $(-3/2)^{3}$

CONTINUE

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

The solution in exponential form = $(-3/2)^{3}$

The solution in rational number form = -3 X -3 X -3/2 X 2 X 2

                                                              = -27/8