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Popular >

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

Solution

simplify

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

Solution

10 x^{7} y^{7}

Solution steps

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

Apply exponent rule:

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

x^{4} x^{3} = x^{4 + 3}

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

Add the numbers:

4 + 3 = 7

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

Apply exponent rule:

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

y^{4} y^{3} = y^{4 + 3}

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

Add the numbers:

4 + 3 = 7

= 5 \cdot 2 x^{7} y^{7}

Multiply the numbers:

5 \cdot 2 = 10

= 10 x^{7} y^{7}

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Frequently Asked Questions (FAQ)

What is 5x^4y^4(2x^3y^3) ?
The solution to 5x^4y^4(2x^3y^3) is 10x^7y^7