Find the product:

−4/7
(−1/32
)

The product of -4/7 and -1/32 is equal to 1/56.

To find the product of -4/7 and -1/32, you simply multiply the two fractions together.

Multiplying the numerators (-4 and -1) gives you -4 * -1 = 4.
Multiplying the denominators (7 and 32) gives you 7 * 32 = 224.

So, the product of -4/7 and -1/32 is 4/224.

However, we can simplify this fraction. Both 4 and 224 are divisible by 4.

Dividing 4 by 4 gives you 1, and dividing 224 by 4 gives you 56.

Therefore, the simplified product of -4/7 and -1/32 is 1/56.

To find the product of two fractions, you simply multiply the numerators together and the denominators together. In this case, the product of -4/7 and -1/32 would be:

(-4/7) * (-1/32)

When multiplying fractions, you multiply the numerators (-4 * -1) and multiply the denominators (7 * 32):

(-4 * -1) / (7 * 32)

The result of multiplying the numerators is 4, and the result of multiplying the denominators is 224. Therefore, the product is:

4/224

Simplifying this fraction, we can divide both numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 4 and 224 is 4:

(4/4) / (224/4)
1/56

So, the product of -4/7 and -1/32 is 1/56.