Answer:
The expression
0.
3
3
0.3
3
÷0.9⋅20+6.4÷0.2 evaluates to 32.6 when computed step by step according to the order of operations in mathematics.
To calculate the expression
0.
3
3
0.3
3
÷0.9⋅20+6.4÷0.2 follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division - left to right, Addition and Subtraction - left to right).
First, calculate the exponent:
0.
3
3
0.3
3
=0.027
Next, perform the division:
0.027÷0.9=0.03
Now, multiply the result by 20:
0.03×20=0.6
Finally, divide 6.4 by 0.2:
6.4÷0.2=32
So, the final answer is
0.6+32=32.6
In summary, the expression evaluates to 32.6 after performing the calculations step by step according to the order of operations. This result is obtained by raising 0.3 to the power of 3, dividing by 0.9, multiplying by 20, and then dividing 6.4 by 0.2, following the correct mathematical order.
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