McGraw Hill Integrated II, 2012
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Exercise 21 Page 3

To multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same.

- 14a^5c^9

To multiply exponential numbers with the same base but different exponents, we add the exponents and keep the base the same. a^m* a^n= a^(m+ n) Keeping this in mind, let's simplify the given expression.
(- 2a^4c^5)(7ac^4)
(- 2 * 7)(a * a^4)(c^5 * c^4)
- 14(a * a^4)(c^5 * c^4)
- 14a^5(c^5 * c^4)
- 14a^5c^9