What is 12z^2b^4(3b^2z^5q^3) ?

The solution to 12z^2b^4(3b^2z^5q^3) is 36z^7b^6q^3

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simplify 12z^2b^4(3b^2z^5q^3)

simplify

12 z^{2} b^{4} (3 b^{2} z^{5} q^{3})

36 z^{7} b^{6} q^{3}

Solution steps

12 z^{2} b^{4} (3 b^{2} z^{5} q^{3})

Apply exponent rule:

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

z^{2} z^{5} = z^{2 + 5}

= 12 b^{4} \cdot 3 b^{2} z^{2 + 5} q^{3}

Add the numbers:

2 + 5 = 7

= 12 b^{4} \cdot 3 b^{2} z^{7} q^{3}

Apply exponent rule:

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

b^{4} b^{2} = b^{4 + 2}

= 12 \cdot 3 b^{4 + 2} z^{7} q^{3}

Add the numbers:

4 + 2 = 6

= 12 \cdot 3 b^{6} z^{7} q^{3}

Multiply the numbers:

12 \cdot 3 = 36

= 36 z^{7} b^{6} q^{3}

[[(2 x^{2})^{2}]^{- 4}]^{- 1}

(7 x^{3} y^{4}) (8 y^{3})

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

e^{- 25 (4)}

e^{- 0.06 (1.1 2^{10} - 1)}

What is 12z^2b^4(3b^2z^5q^3) ?
The solution to 12z^2b^4(3b^2z^5q^3) is 36z^7b^6q^3