Calculate 7² as an Integer: Converting Power to Standard Form

Write the following as an integer:

72= 7^2=

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Step-by-step video solution

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00:00 Solve
00:03 Let's use the power formula
00:06 Any number (X) to the power of (N)
00:09 equals X multiplied by itself N times
00:17 Let's use this formula in our exercise
00:22 Let's break down the power into multiplications
00:29 Let's calculate the multiplications
00:32 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Write the following as an integer:

72= 7^2=

2

Step-by-step solution

To solve this problem, we need to evaluate the expression 727^2. This expression means 77 multiplied by itself, due to the exponent 22.

  • Step 1: Identify the base and exponent — here the base is 77 and the exponent is 22.
  • Step 2: Apply the definition of exponents: calculate 7×77 \times 7.

Now, let's perform the calculation:

7×7=497 \times 7 = 49.

Therefore, the integer value of 727^2 is 49\textbf{49}.

3

Final Answer

49

Practice Quiz

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\( 11^2= \)

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