What is (10xy^5z^3)(3x^4y^6z^3) ?

The solution to (10xy^5z^3)(3x^4y^6z^3) is 30x^5y^{11}z^6

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simplify (10xy^5z^3)(3x^4y^6z^3)

simplify

(10 x y^{5} z^{3}) (3 x^{4} y^{6} z^{3})

30 x^{5} y^{11} z^{6}

Solution steps

(10 x y^{5} z^{3}) (3 x^{4} y^{6} z^{3})

Apply exponent rule:

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

x x^{4} = x^{1 + 4}

= 10 y^{5} z^{3} \cdot 3 x^{1 + 4} y^{6} z^{3}

Add the numbers:

1 + 4 = 5

= 10 y^{5} z^{3} \cdot 3 x^{5} y^{6} z^{3}

Apply exponent rule:

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

y^{5} y^{6} = y^{5 + 6}

= 10 z^{3} \cdot 3 x^{5} y^{5 + 6} z^{3}

Add the numbers:

5 + 6 = 11

= 10 z^{3} \cdot 3 x^{5} y^{11} z^{3}

Apply exponent rule:

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

z^{3} z^{3} = z^{3 + 3}

= 10 \cdot 3 x^{5} y^{11} z^{3 + 3}

Add the numbers:

3 + 3 = 6

= 10 \cdot 3 x^{5} y^{11} z^{6}

Multiply the numbers:

10 \cdot 3 = 30

= 30 x^{5} y^{11} z^{6}

3 i + i

4 y + 4 \geq - 8

- 7 (y + 10) - 11 = - 88

x^{2} - 7 x - 30 = 0

\frac{j ^{2} + 7 j + 6}{12 j ^{3} - 14 j ^{2} - 10 j}

What is (10xy^5z^3)(3x^4y^6z^3) ?
The solution to (10xy^5z^3)(3x^4y^6z^3) is 30x^5y^{11}z^6