Questions: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. (-7)^2

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

(-7)^2
Transcript text: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. (-7)^2
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Solution

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Solution Steps

To simplify the expression \((-7)^2\), we need to apply the property of exponents that states any number raised to the power of 2 is that number multiplied by itself. Since the base is negative, squaring it will result in a positive number.

Step 1: Calculate the Square

To simplify the expression \((-7)^2\), we apply the exponent rule: \[ (-7)^2 = (-7) \times (-7) \]

Step 2: Evaluate the Product

Calculating the product gives: \[ (-7) \times (-7) = 49 \]

Final Answer

The simplified expression is \(\boxed{49}\).

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