Question
$13824=2^a \times 3^b$ then find a and b
✓
Answer
If $13824=2^a \times 3^b$
Using the prime factorization tree
$
13824=2^9 \times 3^3
$
Given $13824=2^a \times 3^b$
Compare we get $a=9$ and $b=3$
Aliter:
$
13824=2^9 \times 3^3
$
Compare with
$
13824=2^a \times 3^b
$
The value of $a=9 b=3$
Using the prime factorization tree
$
13824=2^9 \times 3^3
$
Given $13824=2^a \times 3^b$
Compare we get $a=9$ and $b=3$
Aliter:
$
13824=2^9 \times 3^3
$
Compare with
$
13824=2^a \times 3^b
$
The value of $a=9 b=3$
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