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Popular >

simplify 7x^4y(9x^4y^3)

Solution

simplify

7 x^{4} y (9 x^{4} y^{3})

Solution

63 x^{8} y^{4}

Solution steps

7 x^{4} y (9 x^{4} y^{3})

Apply exponent rule:

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

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

= 7 y \cdot 9 x^{4 + 4} y^{3}

Add the numbers:

4 + 4 = 8

= 7 y \cdot 9 x^{8} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 7 \cdot 9 x^{8} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 7 \cdot 9 x^{8} y^{4}

Multiply the numbers:

7 \cdot 9 = 63

= 63 x^{8} y^{4}

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Frequently Asked Questions (FAQ)

What is 7x^4y(9x^4y^3) ?
The solution to 7x^4y(9x^4y^3) is 63x^8y^4