Subjects algebra

Algebraic Expressions 56E13E

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1. **State the problem:** Simplify and express given algebraic expressions as repeated multiplications. 2. **Recall the rules:** - Repeated multiplication of the same term is expressed using exponents. - For example, $a \times a = a^2$, $a \times a \times a = a^3$. 3. **Simplify each expression:** **(a) Simplify $pq \times pq \times pq$:** Since $pq$ is multiplied three times, this is $(pq)^3$. **(b) Simplify $(6a - 1) \times (6a - 1)$:** This is $(6a - 1)^2$. **(c) Simplify $(8x + 3y) \times (8x + 3y) \times (8x + 3y)$:** This is $(8x + 3y)^3$. 4. **Write each expression in repeated multiplication form:** **(a) $(2 + 7x)^2$ is $(2 + 7x) \times (2 + 7x)$** **(b) $(h - 4k)^3$ is $(h - 4k) \times (h - 4k) \times (h - 4k)$** **(c) $(5p + q)^4$ is $(5p + q) \times (5p + q) \times (5p + q) \times (5p + q)$** **Final answers:** 1(a) $(pq)^3$ 1(b) $(6a - 1)^2$ 1(c) $(8x + 3y)^3$ 2(a) $(2 + 7x) \times (2 + 7x)$ 2(b) $(h - 4k) \times (h - 4k) \times (h - 4k)$ 2(c) $(5p + q) \times (5p + q) \times (5p + q) \times (5p + q)$