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Popular >

simplify (2x^4y^3)(5xy^4)

Solution

simplify

(2 x^{4} y^{3}) (5 x y^{4})

Solution

10 x^{5} y^{7}

Solution steps

(2 x^{4} y^{3}) (5 x y^{4})

Apply exponent rule:

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

x^{4} x = x^{4 + 1}

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

Add the numbers:

4 + 1 = 5

= 2 y^{3} \cdot 5 x^{5} y^{4}

Apply exponent rule:

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

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

= 2 \cdot 5 x^{5} y^{3 + 4}

Add the numbers:

3 + 4 = 7

= 2 \cdot 5 x^{5} y^{7}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{5} y^{7}

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Frequently Asked Questions (FAQ)

What is (2x^4y^3)(5xy^4) ?
The solution to (2x^4y^3)(5xy^4) is 10x^5y^7