How do you simplify $(10 x y^{4} z^{3}) (3 x^{4} y^{6} z^{3})$ $(10xy^4z^3)(3x^4y^6z^3)$ ?

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Answer 1 · 2017-01-25T15:02:40

See the entire simplification process below:

First, group like terms together:

$(10 \times 3) (x \times x^{4}) (y^{4} \times y^{6}) (z^{3} \times z^{3})$ $(10 xx 3)(x xx x^4)(y^4 xx y^6)(z^3 xx z^3)$

Next, use these two rules for exponents to combine the like terms:

$a = a^{1}$ $a = a^color(red)(1)$

$x^{a} \times x^{b} = x^{a + b}$ $x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))$

$(10 \times 3) (x^{1} \times x^{4}) (y^{4} \times y^{6}) (z^{3} \times z^{3})$ $(10 xx 3)(x^color(red)(1) xx x^4)(y^4 xx y^6)(z^3 xx z^3)$

$30 x^{1 + 4} y^{4 + 6} z^{3 + 3}$ $30x^(color(red)(1)+4)y^(4+6)z^(3+3)$

$30 x^{5} y^{10} z^{6}$ $30x^5y^10z^6$

How do you simplify (10xy^4z^3)(3x^4y^6z^3)(10xy4z3)(3x4y6z3)(10xy^4z^3)(3x^4y^6z^3)?