Question

Pls answer and explain how you got it - i will mark brainliest (just answer #28)

Answer 1

Answer:

28. 5x² × y^-3 × z

29. 2a⁵m⁵ × p^-2

Step-by-step explanation:

Volume = base area × height

1) 10x⁴z/y⁵ = 2x²/y² × height

Height = 10x⁴zy²/2x²y⁵

= 5x²z/y³

= 5x² × y^-3 × z

2. 14m⁸/a³p = 7p × 2m³/a⁸ × width

Width = 14m⁸a⁸/7a³p²m³

= 2a⁵m⁵/p²

= 2a⁵m⁵ × p^-2

Answer 2

Answer:

5 x^2 y^ (-3) z = ?

Step-by-step explanation:

We know the volume of a rectangular prism is given by

V = l*w*h

V = 2x^2 * y^-2 * ?

We are given the volume

V =10x^4 y^-5 z

Set  the two equal

10x^4 y^-5 z = 2x^2 * y^-2 * ?

Divide each side by 2x^2 y^-2

10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2

10x^4 y^-5 z/ 2x^2 y^-2 = ?

Simplifying

10/2  * x^4/x^2  y^-5/ y^-2  z = ?

We know that a^b/ a^c = a^(b-c)

5 x^ (4-2) y^(-5 - -2) z = ?

5 x^2 y^ (-5 +2) z = ?

5 x^2 y^ (-3) z = ?