Question

1.If 2a*2b=576,the value of a+b is
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Answer 1

Answer:

3

Step-by-step explanation:

576 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 = 2^6 * 3^2

=> 2^a * 3^b = 2^6 * 3^2

=> a = 6, b = 2

a/b = 6/2 = 3

Answer 2

Step-by-step explanation:

$2a \times 2b = 576 \\ 4ab = 576 \\ ab = \frac{576}{4} \\ ab = \underline{ \underline{ 144}} \\ \\ ab = 144\\ a = \frac{144}{b} \\ \\ a + b \\ \frac{144}{b} + b \\ \frac{144 + {b}^{2} }{b}$