Question

2¹⁰ ÷ (2³)² = __________ : Fill in the blank.

Answer 1

${2}^{10} \div {(2)}^{3 \times 2} \\ = {2}^{10} \div {2}^{6} \\ = {(2)}^{10 - 6} \\ = {2}^{4}$
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Answer 2

2^10 ÷ ( 2³ )² = 2⁴ = 16

Explanation :

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We know the Exponential laws:

1 ) ( a^m )ⁿ = a^mn

2 ) a^m/a^n = a^m-n

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Here ,

2^10 ÷ ( 2³ )²

= 2^10 ÷ 2^3×2

= 2^10 ÷ 2^6

= 2^10-6

= 2⁴

= 16

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