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Popular >

simplify (x^2y^6)(6yx^3)

Solution

simplify

(x^{2} y^{6}) (6 y x^{3})

Solution

6 x^{5} y^{7}

Solution steps

(x^{2} y^{6}) (6 y x^{3})

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= y^{6} \cdot 6 y x^{2 + 3}

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

= 6 y^{6 + 1} x^{5}

Add the numbers:

6 + 1 = 7

= 6 y^{7} x^{5}

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Frequently Asked Questions (FAQ)

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