Order of Operations with Powers Worksheet with Answer Key

What's on the worksheet

1. Evaluate, working out the powers before multiplying, dividing, adding or subtracting.
   4^2 + 3 \times 56 \times 2^490 - 3^4 \div 95^2 \times 2 - 7^22^6 \div 4^2 + 1^5
2. Evaluate expressions using parentheses, brackets and fraction bars as grouping.
   (2 \times 5)^3 \div 8(8 + 7)^2 - 8^2 - 7^2\dfrac{4^3 - 4}{2^3 + 2}\left[20 - (1 + 3)^2\right]^3 \div 82^{3 + 1} - (3 + 1)^2
3. Evaluate expressions with fractions and decimals, in simplest form.
   \left(\dfrac{2}{3}\right)^2 \times 18 + 10.3^2 + 0.7 \times 10^2\left(2 - \dfrac{1}{2}\right)^3 \times \dfrac{8}{9}(0.2 + 0.3)^2 \div 0.5
4. Decide which of three students evaluated an expression correctly and find the others' mistakes.
5. Place a small 2 exponent on one number in 3 + 4 × 5 to get a target value.
6. Word problem: write one expression for the stalls and music area at a night market.
7. Place 2, 3 and 4 in the boxes of a product with a power and find the greatest and least values.