What is (5x^4yz^2)(3x^4y^4z^2) ?

The solution to (5x^4yz^2)(3x^4y^4z^2) is 15x^8y^5z^4

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simplify (5x^4yz^2)(3x^4y^4z^2)

simplify

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

15 x^{8} y^{5} z^{4}

Solution steps

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

Apply exponent rule:

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

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

= 5 y z^{2} \cdot 3 x^{4 + 4} y^{4} z^{2}

Add the numbers:

4 + 4 = 8

= 5 y z^{2} \cdot 3 x^{8} y^{4} z^{2}

Apply exponent rule:

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

y y^{4} = y^{1 + 4}

= 5 z^{2} \cdot 3 x^{8} y^{1 + 4} z^{2}

Add the numbers:

1 + 4 = 5

= 5 z^{2} \cdot 3 x^{8} y^{5} z^{2}

Apply exponent rule:

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

z^{2} z^{2} = z^{2 + 2}

= 5 \cdot 3 x^{8} y^{5} z^{2 + 2}

Add the numbers:

2 + 2 = 4

= 5 \cdot 3 x^{8} y^{5} z^{4}

Multiply the numbers:

5 \cdot 3 = 15

= 15 x^{8} y^{5} z^{4}

2^{x} \times 5^{x}

x^{3} (3 x + 2)^{3}

(6.67428 \cdot 1 0^{- 11}) (6.4191 \cdot 1 0^{23}) (4400)

(32)^{2}

e^{- 2 I n x}

What is (5x^4yz^2)(3x^4y^4z^2) ?
The solution to (5x^4yz^2)(3x^4y^4z^2) is 15x^8y^5z^4