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Popular >

simplify 7x^2y^4(12x^3y)

Solution

simplify

7 x^{2} y^{4} (12 x^{3} y)

Solution

84 x^{5} y^{5}

Solution steps

7 x^{2} y^{4} (12 x^{3} y)

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

= 7 y^{4} \cdot 12 x^{2 + 3} y

Add the numbers:

2 + 3 = 5

= 7 y^{4} \cdot 12 x^{5} y

Apply exponent rule:

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

y^{4} y = y^{4 + 1}

= 7 \cdot 12 x^{5} y^{4 + 1}

Add the numbers:

4 + 1 = 5

= 7 \cdot 12 x^{5} y^{5}

Multiply the numbers:

7 \cdot 12 = 84

= 84 x^{5} y^{5}

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Frequently Asked Questions (FAQ)

What is 7x^2y^4(12x^3y) ?
The solution to 7x^2y^4(12x^3y) is 84x^5y^5