The problem asks to simplify the following expressions: 1. $(x^3)(7x^7)(2x^{10})$

1. Problem Description

The problem asks to simplify the following expressions:

1. $(x^3)(7x^7)(2x^{10})$

2. $(7n^{29})(3n^{-7})(-4n^2)$

3. $(2x^3)(c^7)(-10c^3)(x^7)$

2. Solution Steps

1. $(x^3)(7x^7)(2x^{10})$

We multiply the coefficients and add the exponents of $x$.

$(1 \cdot 7 \cdot 2)(x^{3+7+10})$

$14x^{20}$

2. $(7n^{29})(3n^{-7})(-4n^2)$

Multiply the coefficients and add the exponents of $n$.

$(7 \cdot 3 \cdot -4)(n^{29+(-7)+2})$

$-84n^{24}$

3. $(2x^3)(c^7)(-10c^3)(x^7)$

Multiply the coefficients and combine like terms by adding the exponents.

$(2 \cdot -10)(x^{3+7})(c^{7+3})$

$-20x^{10}c^{10}$

3. Final Answer

1. $14x^{20}$

2. $-84n^{24}$

3. $-20x^{10}c^{10}$