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Popular >

simplify (6x^2y^3)(8x^3y)

Solution

simplify

(6 x^{2} y^{3}) (8 x^{3} y)

Solution

48 x^{5} y^{4}

Solution steps

(6 x^{2} y^{3}) (8 x^{3} y)

Apply exponent rule:

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

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

= 6 y^{3} \cdot 8 x^{2 + 3} y

Add the numbers:

2 + 3 = 5

= 6 y^{3} \cdot 8 x^{5} y

Apply exponent rule:

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

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

= 6 \cdot 8 x^{5} y^{3 + 1}

Add the numbers:

3 + 1 = 4

= 6 \cdot 8 x^{5} y^{4}

Multiply the numbers:

6 \cdot 8 = 48

= 48 x^{5} y^{4}

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Frequently Asked Questions (FAQ)

What is (6x^2y^3)(8x^3y) ?
The solution to (6x^2y^3)(8x^3y) is 48x^5y^4