Question

# How do you simplify (3y ^ { 2} z ^ { 3} ) ^ { 3} ( 2x y ^ { 4} z ^ { 3} )?

How do you simplify (3y ^ { 2} z ^ { 3} ) ^ { 3} ( 2x y ^ { 4} z ^ { 3} )?

Answer 1

$= 162 x {y}^{10} {z}^{12}$

#### Explanation:

$\left(3 {y}^{2} {z}^{3}\right) \times 3 \left(2 x {y}^{4} {z}^{3}\right)$

Remove the brackets

$\rightarrow$ for the first one all the factors have go be cubed.
$\rightarrow$ for the second, multiply by $3$

$= 27 {y}^{6} {z}^{9} \times 6 x {y}^{4} {z}^{3} \text{ } \leftarrow$ now multiply as usual

To multiply in algebra:

• multiply the signs
• multiply the numbers
• add the indices of like bases.

$27 {y}^{6} {z}^{9} \times 6 x {y}^{4} {z}^{3}$

$= 162 x {y}^{10} {z}^{12}$

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