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Popular >

simplify (3x^4y^7)(5x^2y)

Solution

simplify

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

Solution

15 x^{6} y^{8}

Solution steps

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

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

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

Add the numbers:

4 + 2 = 6

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

Apply exponent rule:

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

y^{7} y = y^{7 + 1}

= 3 \cdot 5 x^{6} y^{7 + 1}

Add the numbers:

7 + 1 = 8

= 3 \cdot 5 x^{6} y^{8}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{6} y^{8}

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Frequently Asked Questions (FAQ)

What is (3x^4y^7)(5x^2y) ?
The solution to (3x^4y^7)(5x^2y) is 15x^6y^8