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Popular >

simplify (x^3y^4)(4x^5y^7)

Solution

simplify

(x^{3} y^{4}) (4 x^{5} y^{7})

Solution

4 x^{8} y^{11}

Solution steps

(x^{3} y^{4}) (4 x^{5} y^{7})

Apply exponent rule:

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

x^{3} x^{5} = x^{3 + 5}

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

Add the numbers:

3 + 5 = 8

= y^{4} \cdot 4 x^{8} y^{7}

Apply exponent rule:

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

y^{4} y^{7} = y^{4 + 7}

= 4 x^{8} y^{4 + 7}

Add the numbers:

4 + 7 = 11

= 4 x^{8} y^{11}

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Frequently Asked Questions (FAQ)

What is (x^3y^4)(4x^5y^7) ?
The solution to (x^3y^4)(4x^5y^7) is 4x^8y^{11}