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Popular >

simplify 5x^3yz^2(3yz^3)

Solution

simplify

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

Solution

15 x^{3} y^{2} z^{5}

Solution steps

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

Apply exponent rule:

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

yy = y^{1 + 1}

= 5 x^{3} z^{2} \cdot 3 y^{1 + 1} z^{3}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

z^{2} z^{3} = z^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{3} y^{2} z^{5}

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Frequently Asked Questions (FAQ)

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