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Popular >

simplify (3XY)(4X^2Y^3)

Solution

simplify

(3 X Y) (4 X^{2} Y^{3})

Solution

12 X^{3} Y^{4}

Solution steps

(3 X Y) (4 X^{2} Y^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

X X^{2} = X^{1 + 2}

= 3 Y \cdot 4 X^{1 + 2} Y^{3}

Add the numbers:

1 + 2 = 3

= 3 Y \cdot 4 X^{3} Y^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

Y Y^{3} = Y^{1 + 3}

= 3 \cdot 4 X^{3} Y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 \cdot 4 X^{3} Y^{4}

Multiply the numbers:

3 \cdot 4 = 12

= 12 X^{3} Y^{4}

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Frequently Asked Questions (FAQ)

What is (3XY)(4X^2Y^3) ?
The solution to (3XY)(4X^2Y^3) is 12X^3Y^4