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Popular >

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

Solution

simplify

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

Solution

48 y^{5}

Solution steps

(3 y^{3}) \cdot 4 (4 y^{2})

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

= 3 y^{3} \cdot 4^{1 + 1} y^{2}

Add the numbers:

1 + 1 = 2

= 3 y^{3} \cdot 4^{2} y^{2}

Apply exponent rule:

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

y^{3} y^{2} = y^{3 + 2}

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

Add the numbers:

3 + 2 = 5

= 3 \cdot 4^{2} y^{5}

4^{2} = 16

= 3 \cdot 16 y^{5}

Multiply the numbers:

3 \cdot 16 = 48

= 48 y^{5}

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Frequently Asked Questions (FAQ)

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