Mrmunchlyidn
Answered

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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

Sagot :

MissyArelleeeeeidn

• 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.

[tex] \large\tt \frac{(15x^5 y^3 z^{15})}{(5x^3 yz^{12} ) } \\ [/tex]

[tex] \tt \large 3x {}^{5 - 3}y {}^{3 - 1} z {}^{15 - 12} [/tex]

[tex] \boxed {\huge\tt 3x {}^{2}y {}^{2} z {}^{3} } [/tex]

• Answer:

There's something wrong in the given choices. The answer should be 3x²y²z³.

Aliyah1732idn

Which of the following will be the result when (15x^5 y^3 z^15)/(5x^3 yz^12 ) is simplified?

[tex] \large{ \sf{Solution}}[/tex]

[tex] \large{ \sf{ \frac{( {15x}^{5} {y}^{3} {z}^{15}) }{(5 {x}^{3}y {z}^{12}) }}} [/tex]

[tex] \sf{ = \frac{15 {x}^{2} {y}^{2} {z}^{3} }{5} }[/tex]

[tex] \bold{\sf{= 3 {x}^{2} {y}^{2} {z}^{3}}} [/tex]

[tex] \large{ \sf{Answer}}[/tex]

[tex] \boxed{\large{ \tt{3 {x}^{2} {y}^{2} {z}^{3}}}} [/tex]