Question

find the product of -5x²y, -2/3xy²z, 8/15xyz² and -1/4z. verify the result when x=1, y=2 and z=3.​

Answer 1

The product of ( - 5$x^{2}$y) × ( - $\frac{2}{3}$·x·$y^{2}$·z) ×

( $\frac{8}{15}$·xy·$z^{2}$) × ($\frac{- 1}{4}$·z) is - "$\frac{4}{9}$·$x^{4}$·$y^{4}$·$z^{2}$".

Step-by-step explanation:

We have,

( - 5$x^{2}$y) × ( - $\frac{2}{3}$·x·$y^{2}$·z) ×

( $\frac{8}{15}$·xy·$z^{2}$) × ($\frac{- 1}{4}$·z)

= ( - 5 × $\frac{2}{3}$ × $\frac{8}{15}$ × $\frac{1}{4}$) ×

$x^{4}$ × $y^{4}$ × $z^{2}$

= - $\frac{4}{9}$·$x^{4}$·$y^{4}$·$z^{2}$

∴ The product of ( - 5$x^{2}$y) × ( - $\frac{2}{3}$·x·$y^{2}$·z) ×

( $\frac{8}{15}$·xy·$z^{2}$) × ($\frac{- 1}{4}$·z) is - $\frac{4}{9}$·$x^{4}$·$y^{4}$·$z^{2}$.

Put x = 1, y = 2 and z = 3

- $\frac{4}{9}$·$1^{4}$·$2^{4}$·$3^{2}$

=  - $\frac{4}{9}$·1·16·9

= - 64

Answer 2

Step-by-step explanation:

ANSWER IN THE ATTACHMENT...