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Popular >

simplify (x^5y^8)5(4xy)

Solution

simplify

(x^{5} y^{8}) 5 (4 x y)

Solution

20 x^{6} y^{9}

Solution steps

(x^{5} y^{8}) \cdot 5 (4 x y)

Apply exponent rule:

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

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

= y^{8} \cdot 5 \cdot 4 x^{5 + 1} y

Add the numbers:

5 + 1 = 6

= y^{8} \cdot 5 \cdot 4 x^{6} y

Apply exponent rule:

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

y^{8} y = y^{8 + 1}

= 5 \cdot 4 x^{6} y^{8 + 1}

Add the numbers:

8 + 1 = 9

= 5 \cdot 4 x^{6} y^{9}

Multiply the numbers:

5 \cdot 4 = 20

= 20 x^{6} y^{9}

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Frequently Asked Questions (FAQ)

What is (x^5y^8)5(4xy) ?
The solution to (x^5y^8)5(4xy) is 20x^6y^9