Question

What values of a and b make the equation true square root of 648 equals square root of 2^a times 3^b

Answer 1

In symbols, sqrt(648) = 2^a * 3^b.

One way in which to tackle this is to factor *648.

648 = 81*8.

Note that 81 = 3^4 and that 8 = 2^3.

Therefore, a = 4 and b = 3.