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Mathematics

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Here are the solutions to the problems using the laws of indices.

3. Fill in the blank boxes with suitable numbers.

a)
The central value is 5205^{20}. We use the rule am×an=am+na^m \times a^n = a^{m+n}.

  • Top box: 56×52×58×54=56+2+8+4=5205^6 \times 5^2 \times 5^8 \times 5^{\boxed{4}} = 5^{6+2+8+4} = 5^{20}
  • Left box: 58×512=58+12=5205^8 \times 5^{\boxed{12}} = 5^{8+12} = 5^{20}
  • Right box: $5^{15} \
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