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Popular >

simplify 3x^5y^3(4xy^7)

Solution

simplify

3 x^{5} y^{3} (4 x y^{7})

Solution

12 x^{6} y^{10}

Solution steps

3 x^{5} y^{3} (4 x y^{7})

Apply exponent rule:

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

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

= 3 y^{3} \cdot 4 x^{5 + 1} y^{7}

Add the numbers:

5 + 1 = 6

= 3 y^{3} \cdot 4 x^{6} y^{7}

Apply exponent rule:

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

y^{3} y^{7} = y^{3 + 7}

= 3 \cdot 4 x^{6} y^{3 + 7}

Add the numbers:

3 + 7 = 10

= 3 \cdot 4 x^{6} y^{10}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{6} y^{10}

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Frequently Asked Questions (FAQ)

What is 3x^5y^3(4xy^7) ?
The solution to 3x^5y^3(4xy^7) is 12x^6y^{10}