Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$$\frac { 5 } { 4 } ( 16 y - 16 x + 20 z )$$
A) $20 y - 20 x - 25 z$
B) $20 y + 20 x + 25 z$
C) $20 y + 20 x - 25 z$
D) $20 y - 20 x + 25 z$

Question

Quizplus · Accepted Answer

The given expression can be simplified by distributing $\frac{5}{4}$ across each term inside the parentheses. This gives $\frac{5}{4} \cdot 16y = 20y$, $\frac{5}{4} \cdot -16x = -20x$, and $\frac{5}{4} \cdot 20z = 25z$. Therefore, the simplified expression is $20y - 20x + 25z$, which matches option D.

Write the Expression with Only Positive Exponents and Evaluate If 54(16y−16x+20z)\frac { 5 } { 4 } ( 16 y - 16 x + 20 z )45​(16y−16x+20z)

Write the Expression with Only Positive Exponents and Evaluate If $\frac { 5 } { 4 } ( 16 y - 16 x + 20 z )$