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6. Find the following product: (3x³y²)²(2x²y³)³ a. 36x^36y^13 b. 72x¹²y¹³ c. 72x^12y^10 d. 64x^36y^13



Sagot :

✒️Expression

[tex]••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

Find the following product: (3x³y²)²(2x²y³)³

→. [tex]\large\color{green}\boxed{b. 72x¹²y¹³}[/tex]

[tex] \small\mathtt\color{darkgreen}{••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex] \large{\colorbox{black}{\color{lavender}{\tt{Step\:by\:Step\:Solution}}}}[/tex]

Step 1

To raise a product to a power, raise each factor to that power.

[tex]9{x}^{6} {y}^{4} \times (2 {x}^{2} {y}^{3} {)}^{3} [/tex]

To raise a product to a power, raise each factor to that power.

[tex]9 {x}^{6} {y}^{4} \times 8 {x}^{6} {y}^{9} [/tex]

Step 2

Calculate the product

[tex]72 {x}^{12} {y}^{13} [/tex]

[tex]••••••••••••••••••••••••••••••••••••••••••••••••[/tex]