Question

(-3/2)-1 is equal to
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Answer 1

Answer:

power is -1 so it would be reciprocated

Step-by-step explanation:

i think it would be -2/3

Answer 2

1. The standard form of the given number is 4.27 * 10^-4.

The standard form of any number is a number that evaluates to the same value but only has one digit before the decimal and has powers of 10 added to evaluate to the same value.

Ex. Any general number in standard form is :

Any general number : abc.def

Corresponding standard form : a.bcdef * 10^2

Thus similarly, as we move the decimal 4 places to the right in the given question, we add a -4 power of 10 in the standard form.

2. A) The value of "x" in the given algebraic expression is 3.

We are given that :

                        $4^{3} * 3^{3} = (4x)^{3}$

Applying the algebraic identity: $a^{x} *b^{x} =(a*b)^{x}$,

                        $( 4*3)^{3} = (4*x)^{3}$

                        $( 4 * 3) = (4*x)$       [ Applying cube root on both sides ]

                        $12 = 4x$

                         $x. = 3$

2. B) The evaluated value of the given inverse is -2/3.

The power of "-1" on a value means the inverse of the value. For a fractional value of form numerator upon denominator, inverse means swapping the values of the numerator and the denominator.

The given fraction is : $(-3/2)^{-1}$

Here, we have numerator = -3

and denominator = 2

Due to the power of -1 i.e. inverse, we swap the values as :

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

                                       $= -2/3$

To learn more about Expression Evaluation, visit

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