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Popular >

simplify (3x^2y)(5x^7y^3z)

Solution

simplify

(3 x^{2} y) (5 x^{7} y^{3} z)

Solution

15 x^{9} y^{4} z

Solution steps

(3 x^{2} y) (5 x^{7} y^{3} z)

Apply exponent rule:

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

x^{2} x^{7} = x^{2 + 7}

= 3 y \cdot 5 x^{2 + 7} y^{3} z

Add the numbers:

2 + 7 = 9

= 3 y \cdot 5 x^{9} y^{3} z

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 3 \cdot 5 x^{9} y^{1 + 3} z

Add the numbers:

1 + 3 = 4

= 3 \cdot 5 x^{9} y^{4} z

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{9} y^{4} z

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Frequently Asked Questions (FAQ)

What is (3x^2y)(5x^7y^3z) ?
The solution to (3x^2y)(5x^7y^3z) is 15x^9y^4z