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Popular >

simplify (5z^2y^3)(7zy^4)

Solution

simplify

(5 z^{2} y^{3}) (7 z y^{4})

Solution

35 z^{3} y^{7}

Solution steps

(5 z^{2} y^{3}) (7 z y^{4})

Apply exponent rule:

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

z^{2} z = z^{2 + 1}

= 5 y^{3} \cdot 7 z^{2 + 1} y^{4}

Add the numbers:

2 + 1 = 3

= 5 y^{3} \cdot 7 z^{3} y^{4}

Apply exponent rule:

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

y^{3} y^{4} = y^{3 + 4}

= 5 \cdot 7 z^{3} y^{3 + 4}

Add the numbers:

3 + 4 = 7

= 5 \cdot 7 z^{3} y^{7}

Multiply the numbers:

5 \cdot 7 = 35

= 35 z^{3} y^{7}

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Frequently Asked Questions (FAQ)

What is (5z^2y^3)(7zy^4) ?
The solution to (5z^2y^3)(7zy^4) is 35z^3y^7