Question

Solve (-2)⁻³ x (-3)⁻²

Answer 1

`{( - 2)}^( - 3) * {( - 3)}^( - 2) = \frac{1}{ {( - 2)}^(3) * {( - 3)}^(2) } = (1)/( - 8 * 9) = - (1)/(72)`

Answer 2

To solve (-2)⁻³ x (-3)⁻², simplify each exponent by moving the base to the denominator. Then, multiply the fractions to get the final answer of -1/72.

Step-by-step explanation:

To solve the expression (-2)⁻³ x (-3)⁻², we need to simplify each exponent first.

A negative exponent indicates that the base should be moved to the denominator.

So, (-2)⁻³ becomes 1/(-2)³, and (-3)⁻² becomes 1/(-3)². Simplifying further,

1/(-2)³ = 1/(-8) = -1/8

and

1/(-3)² = 1/9

Now, multiplying -1/8 and 1/9 gives us:

-1/8 x 1/9 = -1/72

Therefore, the expression (-2)⁻³ x (-3)⁻² equals -1/72.