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Popular >

simplify x^2y^3(16x^3y^4)

Solution

simplify

x^{2} y^{3} (16 x^{3} y^{4})

Solution

16 x^{5} y^{7}

Solution steps

x^{2} y^{3} (16 x^{3} y^{4})

Apply exponent rule:

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

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

= y^{3} \cdot 16 x^{2 + 3} y^{4}

Add the numbers:

2 + 3 = 5

= y^{3} \cdot 16 x^{5} y^{4}

Apply exponent rule:

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

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

= 16 x^{5} y^{3 + 4}

Add the numbers:

3 + 4 = 7

= 16 x^{5} y^{7}

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Frequently Asked Questions (FAQ)

What is x^2y^3(16x^3y^4) ?
The solution to x^2y^3(16x^3y^4) is 16x^5y^7