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31 (65times 10^2)times (39times 10^3)=underline ( ) 32 (7times 2^5)-4(4times 5^5)=underline ( ) 33 77times 10^-2=underline ( ) 34

Question

31 (65times 10^2)times (39times 10^3)=underline ( ) 32 (7times 2^5)-4(4times 5^5)=underline ( ) 33 77times 10^-2=underline ( ) 34 6^6times 2(3-7^-2)=underline ( ) 35 (35times 10^-2)-(57times 10^-3)=underline ( ) 36 (45times 10^3)-(63times 10^-3)=underline ( ) 37 4(23+17)^2+4(14-3)^3+50-44=underline ( ) 38 15(2^2-10)+(3^-3+9)-18+2=underline ( )

Solution

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Answer

### 31. ### 32. ### 33. ### 34. (approximately)### 35. ### 36. ### 37. ### 38. (approximately)

Explanation

## Step1: Calculate ### Multiply the coefficients and add the exponents of 10: ## Step2: Calculate ### Evaluate the exponents and then perform the multiplications and subtraction: ## Step3: Calculate ### Move the decimal point two places to the left: ## Step4: Calculate ### Evaluate the exponent and then perform the operations inside the parentheses, followed by multiplication: ## Step5: Calculate ### Convert to decimal form and subtract: ## Step6: Calculate ### Convert to decimal form and subtract: ## Step7: Calculate ### Perform the operations inside the parentheses first, then exponents, multiplication, and finally addition/subtraction: ## Step8: Calculate ### Evaluate the exponents and then perform the operations inside the parentheses, followed by multiplication and addition/subtraction: