Questions: 次の計算をしなさい。 (1) (-2)^3 (2) -5^2 (3) (-3) × 2^2 (4) (2 × 4)^2

Transcript text: 99 次の計算をしなさい。 (1) $(-2)^{3}$ (2) $-5^{2}$ (3) $(-3) \times 2^{2}$ (4) $(2 \times 4)^{2}$

Solution

To solve the given mathematical expressions, we need to follow the order of operations (PEMDAS/BODMAS). Here are the steps for each calculation:

For $(-2)^3$, raise $-2$ to the power of 3.
For $-5^2$, raise 5 to the power of 2 and then apply the negative sign.
For $(-3) \times 2^2$, first calculate $2^2$ and then multiply the result by $-3$.

Step 1: $(-2)^3$ の計算

\[ (-2)^3 = (-2) \times (-2) \times (-2) = -8 \]

Step 2: $-5^2$ の計算

\[ -5^2 = -(5^2) = -(5 \times 5) = -25 \]

Step 3: $(-3) \times 2^2$ の計算

\[ (-3) \times 2^2 = (-3) \times (2 \times 2) = (-3) \times 4 = -12 \]

\[ \boxed{(-2)^3 = -8} \] \[ \boxed{-5^2 = -25} \] \[ \boxed{(-3) \times 2^2 = -12} \]

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