$a=2$ のとき、以下の式の値を求める問題です。 (1) $\frac{1}{a}$ (2) $\frac{2}{a}$ (3) $\frac{5}{a} - \frac{3}{a}$ (4) $\frac{a^2}{a}$ (5) $\frac{a^6}{a^2}$ (6) $\frac{a^7}{a^3}$ (7) $\frac{a^8}{a^2}$ (8) $(a^2)^3$ (9) $(a^3)^2$ (10) $a^3 \times a^2$

1. 問題の内容

$a=2$ のとき、以下の式の値を求める問題です。

(1) $\frac{1}{a}$

(2) $\frac{2}{a}$

(3) $\frac{5}{a} - \frac{3}{a}$

(4) $\frac{a^2}{a}$

(5) $\frac{a^6}{a^2}$

(6) $\frac{a^7}{a^3}$

(7) $\frac{a^8}{a^2}$

(8) $(a^2)^3$

(9) $(a^3)^2$

(10) $a^3 \times a^2$

2. 解き方の手順

(1) $\frac{1}{a} = \frac{1}{2}$

(2) $\frac{2}{a} = \frac{2}{2} = 1$

(3) $\frac{5}{a} - \frac{3}{a} = \frac{5-3}{a} = \frac{2}{a} = \frac{2}{2} = 1$

(4) $\frac{a^2}{a} = a^{2-1} = a = 2$

(5) $\frac{a^6}{a^2} = a^{6-2} = a^4 = 2^4 = 16$

(6) $\frac{a^7}{a^3} = a^{7-3} = a^4 = 2^4 = 16$

(7) $\frac{a^8}{a^2} = a^{8-2} = a^6 = 2^6 = 64$

(8) $(a^2)^3 = a^{2 \times 3} = a^6 = 2^6 = 64$

(9) $(a^3)^2 = a^{3 \times 2} = a^6 = 2^6 = 64$

(10) $a^3 \times a^2 = a^{3+2} = a^5 = 2^5 = 32$

3. 最終的な答え

(1) $\frac{1}{2}$

(2) $1$

(3) $1$

(4) $2$

(5) $16$

(6) $16$

(7) $64$

(8) $64$

(9) $64$

(10) $32$