Question

2⁶*2²*2⁵÷8³,Simplify it.

Answer 1

2^6+2+5 ÷8^3 (a^m+ a^n = a^m+n)
2^13÷ 8^3. ( cuberoot of 8 is 2)
2^13÷(2^3)^3
2^13÷2^6
2^13-6. (a^m-n)
2^7

Answer 2

2^6 × 2² × 2^5 ÷ 8³ = 2⁴

Explanation :

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We know the Exponential laws :

i ) a^m × a^n = a^m+n

ii ) ( a^m )ⁿ = a^mn

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Here ,

2^6 × 2² × 2^5 ÷ 8³

= 2^6 × 2² × 2^5 ÷ ( 2³ )³

= 2^6 × 2² × 2^5 ÷ 2^9

= 2^6 × 2² × 2^5-9

= 2^6 × 2² × 2-4

= 2^6+2-4

= 2⁴

Or

= 16

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