Simplify the following expression.
2[(8-5)^5/9]
First, we simplify the exponent inside the parentheses:
8-5 = 3
Now we simplify the expression inside the brackets:
(3^5/9)
To simplify further, we simplify the exponent:
3^5 = 243
Now we substitute the simplified exponent back into the expression inside the brackets:
(243/9)
Finally, we divide the numerator and denominator:
243 divided by 9 equals 27
Therefore, the simplified expression is:
2(27) = 54
To simplify the expression 2[(8-5)^5/9], we start by simplifying the numerator inside the parentheses:
8 - 5 = 3
Next, we raise 3 to the power of 5:
3^5 = 243
Now, our expression is:
2[243/9]
Next, we simplify the fraction 243/9:
243 ÷ 9 = 27
Our expression now becomes:
2[27]
Finally, we multiply 2 by 27 to get the final answer:
2 × 27 = 54
Therefore, the simplified expression is 54.