What is (a^4b^3)(x^2a^8bz^3) ?

The solution to (a^4b^3)(x^2a^8bz^3) is a^{12}b^4x^2z^3

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simplify (a^4b^3)(x^2a^8bz^3)

simplify

(a^{4} b^{3}) (x^{2} a^{8} b z^{3})

a^{12} b^{4} x^{2} z^{3}

Solution steps

(a^{4} b^{3}) (x^{2} a^{8} b z^{3})

Apply exponent rule:

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

a^{4} a^{8} = a^{4 + 8}

= b^{3} x^{2} a^{4 + 8} b z^{3}

Add the numbers:

4 + 8 = 12

= b^{3} x^{2} a^{12} b z^{3}

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= x^{2} a^{12} b^{3 + 1} z^{3}

Add the numbers:

3 + 1 = 4

= x^{2} a^{12} b^{4} z^{3}

- 2 x (3 x^{2})

2 x + 5 \cdot x - 5

5.5 \cdot 1 0^{- 8}

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

What is (a^4b^3)(x^2a^8bz^3) ?
The solution to (a^4b^3)(x^2a^8bz^3) is a^{12}b^4x^2z^3