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Popular >

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

Solution

simplify

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

Solution

8 x^{8} y^{4}

Solution steps

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

Apply exponent rule:

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

x^{5} x^{3} = x^{5 + 3}

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

Add the numbers:

5 + 3 = 8

= 2 y^{2} \cdot 4 x^{8} y^{2}

Apply exponent rule:

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

y^{2} y^{2} = y^{2 + 2}

= 2 \cdot 4 x^{8} y^{2 + 2}

Add the numbers:

2 + 2 = 4

= 2 \cdot 4 x^{8} y^{4}

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{8} y^{4}

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Frequently Asked Questions (FAQ)

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