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Popular >

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

Solution

simplify

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

Solution

16 x^{8} y^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 4 = 8

= y^{3} \cdot 4^{2} x^{8}

4^{2} = 16

= 16 x^{8} y^{3}

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Frequently Asked Questions (FAQ)

What is (4x^4y^3)(4x^4) ?
The solution to (4x^4y^3)(4x^4) is 16x^8y^3