Solve the Expression: Finding 7^1 - 7^2

Solve the following exercise and circle the correct answer:

7172= 7^1-7^2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:04 Break down the exponents
00:12 Always solve multiplication and division before addition and subtraction
00:19 Continue to solve the expression according to the correct order of operations, from left to right
00:23 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following exercise and circle the correct answer:

7172= 7^1-7^2=

2

Step-by-step solution

To solve the expression 7172 7^1 - 7^2 , we need to evaluate the powers first before performing the subtraction. The steps are as follows:

  • Calculate 71 7^1 : Since any number to the power of 1 is the number itself, we have 71=7 7^1 = 7 .
  • Calculate 72 7^2 : This means 7 is multiplied by itself, which gives us 7×7=49 7 \times 7 = 49 .
  • Subtract the results: Now, perform the subtraction 749 7 - 49 .
  • This yields: 749=42 7 - 49 = -42 .

Thus, the correct answer is 42 -42 .

3

Final Answer

42 -42

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\( 11^2= \)

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