Answer:
• Problem:
Which of the following will be the result when (15x^5 y^3 z^15)/(5x^3 yz^12 ) is simplified?
a. 3x2yz3 b. 3x2y-8z3 c. 3x2y8z3 d. 3xyz
• Solution:
By applying the laws of exponent, we can simplify the given expression. Divide the numerator by the denominator, as you divide variables, just copy the base and subtract the exponents.
\begin{gathered}\large\tt \frac{(15x^5 y^3 z^{15})}{(5x^3 yz^{12} ) } \\\end{gathered}
(5x
3
yz
12
)
(15x
5
y
3
z
15
)
\tt \large 3x {}^{5 - 3}y {}^{3 - 1} z {}^{15 - 12}3x
5−3
y
3−1
z
15−12
\boxed {\huge\tt 3x {}^{2}y {}^{2} z {}^{3} }
3x
2
y
2
z
3
• Answer:
There's something wrong in the given choices. The answer should be 3x²y²z³.
Explanation:
#carry on learning
