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Popular >

simplify (5x^4y)*(3xy^6)

Solution

simplify

(5 x^{4} y) \cdot (3 x y^{6})

Solution

15 x^{5} y^{7}

Solution steps

(5 x^{4} y) (3 x y^{6})

Apply exponent rule:

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

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

= 5 y \cdot 3 x^{4 + 1} y^{6}

Add the numbers:

4 + 1 = 5

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

Apply exponent rule:

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

y y^{6} = y^{1 + 6}

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

Add the numbers:

1 + 6 = 7

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

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{5} y^{7}

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Frequently Asked Questions (FAQ)

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