Answer : 36x³z²y²
a³ × a² = [tex]a^{3+2} = a^{5}[/tex]
a³ × b³ = (ab)³
a × b = ab
a × b × c = abc
a³ × a² × b = [tex]a^{5}b[/tex]
rewrite like this => 3 × 3x² × x × 4z × z × y × y => you can understand better. I didn't change any number. I only change number's places
3 × 3x² × x × 4z × z × y × y ===> 9x³ × 4z × z × y × y
3 × 3x² × x × 4z × z × y × y ===> 3 × 3x² × x × 4z² × y × y
3 × 3x² × x × 4z × z × y × y ===> 3 × 3x² × x × 4z × z × y²
So;
3 × 3x² × x × 4z × z × y × y = 9x³ × 4z² × y²
9x³ × 4z² × y² = 36x³z²y²
Hope this helps ^-^
The given expression 3 × 3x² × y × 4z × x × y × z is reduced to [tex]\rm 36\times x^3\times z^2\times y^2[/tex] and this can be determined by using arithmetic operations.
Given :
Expression --- 3 × 3x² × y × 4z × x × y × z
The following steps can be used to evaluate the following expression:
Step 1 - Rewrite the given expression.
= 3 × 3x² × y × 4z × x × y × z
Step 2 - Multiply 3 by 3[tex]x^2[/tex] in the above expression.
= 9x² × y × 4z × x × y × z
Step 3 - Now, multiply 9[tex]x^2[/tex] by x in the above expression.
[tex]= 9x^3\times y \times 4z\times y\times z[/tex]
Step 4 - Multiply 4z by z in the above expression.
[tex]\rm = 9x^3\times y \times 4z^2\times y[/tex]
Step 5 - Multiply y by y in the above expression.
[tex]\rm = 9x^3\times y^2 \times 4z^2[/tex]
Step 6 - Multiply 9 by 4 in the above expression.
[tex]\rm =36\times x^3\times z^2\times y^2[/tex]
For more information, refer to the link given below:
https://brainly.com/question/16807456
