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Q.


2 3 × 3 4 ×4 3×32 in exponential form is ____.

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Detailed Solution

2 3 × 3 4 ×4 3×32 in exponential form is   3 3 .
Given data is 2 3 × 3 4 ×4 3×32 .
32 in exponential form is,
32=2×2×2×2×2 32= 2 5
4 in exponential form is,
4=2×2 4= 2 2
Now the expression is 2 3 × 3 4 × 2 2 3× 2 5 .
In numerator using a m × a n = a m+n ,
= 2 3 × 2 2 × 3 4 3× 2 5 = 2 3+ 2 × 3 4 3× 2 5 = 2 5 × 3 4 3× 2 5
Now using a m ÷ a n = a m−n ,
= 2 5−5 × 3 4−1 = 2 0 × 3 3
Using a 0 =1 in 2 0 =1 ,
=1× 3 3 = 3 3
Hence, 2 3 × 3 4 ×4 3×32 is   3 3 .
 
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