Simplify: [2 MARKS] 25×3×42×5

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Question

Simplify: [2 MARKS]

2^{5} \times 3 \times 4^{2} \times 5

Answer:
:
Steps: 1 Mark
Answer: 1 Mark
Given equation is:

2^{5} \times 3 \times 4^{2} \times 5

= 2^{5} \times 3 \times (2^{2})^{2} \times 5

= 2^{5} \times 3 \times 2^{4} \times 5

∵ (a^{m})^{n} = a^{m n}

= 2^{5 + 4} \times 3 \times 5

∵ a^{m} \times a^{n} = a^{m + n}

= 2^{9} \times 3 \times 5

= 2^{9} \times 3 \times 5

= 7680

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