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Popular >

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

Solution

simplify

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

Solution

15 x^{7} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

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

Add the numbers:

4 + 3 = 7

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

Apply exponent rule:

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

y y^{5} = y^{1 + 5}

= 3 \cdot 5 x^{7} y^{1 + 5}

Add the numbers:

1 + 5 = 6

= 3 \cdot 5 x^{7} y^{6}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{7} y^{6}

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Frequently Asked Questions (FAQ)

What is (3x^4y)(5x^3y^5) ?
The solution to (3x^4y)(5x^3y^5) is 15x^7y^6