that equals 2*2*2 which equals eight
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Not necessarily. The value of 3 (rational) raised to the power 1/2 (rational) is not rational.
It is 2250.
You simply do all the calculations. Remember that powers must be calculated before multiplications (unless there is a more complicated expression in the exponent, in which case this expression must be evaluated first).
Since there are no parentheses (brackets) the expression is evaluated from left to right and so 696 / 3 * 2 = 232 * 2 = 464
2 to the 4th power = 16 multiplied by 5 = 80 plus 5 to the 2nd power = 25 mulitiplied by 7 = 255