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) $(5p + q) \times (5p + q) \times (5p + q) \times (5p + q)$
Algebraic Expressions 56E13E
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