Order Operations with Exponents Worksheet

Are you in need of a comprehensive worksheet to help reinforce your understanding of order of operations with exponents? Look no further! Our carefully crafted Order Operations with Exponents Worksheet is designed to cater to the needs of middle school students who are looking to improve their skills in solving mathematical expressions involving exponents. With a focus on providing a clear understanding of the order of operations, this worksheet aims to strengthen foundational knowledge and enhance critical thinking abilities.

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What is the result of 3 raised to the power of 4?

The result of 3 raised to the power of 4 is 81.

Evaluate 2 times the quantity 5 raised to the power of 3 plus 4.

The expression can be evaluated by first calculating the value of the exponent, then multiplying it by 2, and finally adding 4. Starting with the exponent, 5 raised to the power of 3 is 125. Multiplying this by 2 gives 250. Finally, adding 4 to 250 results in the value of 254. Thus, 2 times the quantity 5 raised to the power of 3 plus 4 equals 254.

Simplify the expression 6 divided by the quantity 2 raised to the power of 2.

The simplified expression is 6 divided by 4, which simplifies to 1.5.

Determine the value of 4 plus 3 raised to the power of 2.

The value of 4 plus 3 raised to the power of 2 is 49.

Calculate 2 times 3 raised to the power of 2 plus 4 divided by 2.

The calculation is: 2 * 3^2 + 4 / 2 = 2 * 9 + 2 = 18 + 2 = 20. So, 2 times 3 raised to the power of 2 plus 4 divided by 2 equals 20.

Simplify the expression 10 divided by the quantity 2 times 3 raised to the power of 2 minus 1.

To simplify the expression, first calculate the exponent: 2 times 3 raised to the power of 2 equals 18, then subtract 1 to get 17. Next, divide 10 by 17 to get the final result of approximately 0.588.

What is the result of 3 squared divided by 5 raised to the power of 3 plus 2?

The result of 3 squared divided by 5 raised to the power of 3 plus 2 is 0.04.

Evaluate 2 times the quantity 4 plus 3 squared divided by 2.

To evaluate 2 times the quantity 4 plus 3 squared divided by 2, first calculate the value inside the parentheses: 4 + 3 squared = 4 + 9 = 13. Then, divide this sum by 2 to get 13/2. Finally, multiply this result by 2 to get 13 as the final answer.

Simplify the expression 6 divided by the quantity 3 raised to the power of 2 minus 2.

To simplify the expression 6 divided by the quantity 3 raised to the power of 2 minus 2, we first calculate the exponent by doing 3 raised to the power of 2 which equals 9. Then we subtract 2 from 9 to get 7. Finally, we divide 6 by 7 to get the simplified expression as 6/7.

Determine the value of 5 squared plus 4 divided by the quantity 2 times 2 raised to the power of 2.

The value of the expression is 33. To solve it, first calculate the exponentiation, 2 raised to the power of 2 which equals 4. Then, divide 4 by 4 to get 1. Finally, add the result (1) to 5 squared (25) to get 26, which is the value of the expression.