1. (-m⁶)²

Sol: (-m⁶) (-m⁶), If multiplying the same sign (+/-), the product will be positive. Then, add the exponents.

Ans: m¹²

2. (8ab/7d)²

Sol: (8ab) (8ab) / (7d) (7d). Just multiply the coefficient and the variables.

Ans: 64a²b²/49d²

3. (3a²bc³)³

Sol: (3a²bc³) (3a²bc³) (3a²bc³) or

(3)³ (a²)³ (b)³ (c³)³

Ans: 9a⁶b³c⁹

4. (5x⁴y⁶z) (2x⁸yz²)

Sol: (5 • 2) (x⁴ • x⁸) (y⁶ • y) (z • z²)

Ans: 10x¹²y⁷z³

5. (5a²b/7bd)² (8ab²/7ad²)³

Sol: (5²a⁴b²/7²b²d²) (8³a³b⁶/7³a³d⁶)

(25a⁴b²/49b²d²) (512a³b⁶/343a³d⁶)

12800a⁷b⁸/16807a³b²d⁸

Ans: 12800a⁴b⁶/16807d⁸