Question Simplify the expression $(-7)^{2}$ .

Studdy Solution

STEP 1

1. The expression $(-7)^2$ involves exponentiation of a negative number.
2. The exponent is an even integer, which means the result will be positive.

STEP 2

1. Apply the definition of an exponent to the base $-7$ raised to the power of $2$ .
2. Calculate the result of the exponentiation.

STEP 3

Apply the definition of an exponent, which states that $a^n$ means the base $a$ is multiplied by itself $n$ times.
$(-7)^2 = (-7) \times (-7)$

STEP 4

Calculate the result by multiplying $-7$ by itself.
$(-7) \times (-7) = 49$
The simplified form of $(-7)^2$ is $49$ .

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