３回目 文字式の掛け算・割り算 数学・算数の教材公開ページ

1.

(1) ^{a × a3} (2) ^z4×z3

(3) ^c4×c2 (4) ^z3×z4

(5) ^c4×c3 (6) ^{a × a}

(7) ^¡−4z^4¢×¡−2z^2¢ (8) ^4n4×4n4

(9) ^{¡−3z3¢×3z2} (10) ^{(−3b) ס−4b4¢}

(11) ^2a3×a (12) ^2z4×4z

(13) ^n2×n4×n3 (14) ^{n2×n × n3}

(15) ^z4×z4×z3 (16) ^c3×c4×c

(17) ^{¡−b3¢×¡−2b3¢×¡−b4¢} (18) ^{¡−4c2¢×¡−c2¢×¡−3c4¢}

2.

(1) ^m6÷m2 (2) ^z6÷z3

(3) ^m7÷m3 (4) ^b3÷b2

(5) ^c5÷c (6) ^z5÷z2

(7) ^¡−6n^5¢÷2n² (8) ^4b4÷b

(9) ^{2z6÷¡−z2¢} (10) ^{¡−3m7¢÷3m4}

(11) ^¡−4y^5¢÷y ₍₁₂₎ ^¡−8m^5¢÷2m

(13) ^a9÷a3÷a2 (14) ^a10÷a4÷a

(15) ^a10÷a3÷a2 (16) ^c6÷c4÷c

(17) ^¡−12c^5¢÷3c^3÷(−4c) (18) ^¡−3x^5¢÷x^4÷3x

(19) ^{¡−4n8¢÷2n3÷n3} (20) ^{¡−32a9¢÷4a2÷2a4}

(1) 2^c 6^{c (2)} 6^y 3^y

(3) ^{³− 3} 2ⁿ

´

×^¡−_6n^4¢ ₍₄₎

³

− 13^b

3^´

÷ 16^b

2

(5) ¹ 6^m

6÷ 1 3^m

3 ₍₆₎ ^³

− 23^y

4^´

÷

³

− 16^y

2^´

(7) ^{c4×c ÷ c2} (8) ^b4×b4÷b6

(9) ^{y2×y ÷ y2} (10) ^{c ÷ c × c2}

(11) ^y3÷y2×y2 (12) ^m4÷m4×m3

(13) 3m × (−3m) ÷ 3m² ₍₁₄₎ 2x × x^2÷¡−2x^3¢

(15) ^¡−2y^3¢×2y^2÷(−y) (16) ^¡−6a^4¢×(−2a) ÷^¡−2a^3¢

(17) ^¡−6y^3¢÷¡−3y^2¢×3y³ (18) (−12y) ÷ (−3y) ×^¡−4y^4¢

(19) ^{8z ÷ 2z ס−3z4¢} (20) ^{¡−2n2¢÷(−2n) ס−4n4¢}

4.

(1) ¹

2^{n × 6}5^{n (2)}

³

− 32^y

2^´

× 16^y

(3) ¹ 2^m

4×_6m⁴ ₍₄₎

³

− 53^y

2^´

×_(−6y)

(5) ⁶ 5^a

2×

³

− 12^a

3^´ _{(6) 1}

6^z

6÷

³

− 43^z

4^´

(7) ³ 4^a

3÷ 5 6^a

2 (8) ^{³− 1}

2^a

6^´

÷ 16^a

2

(9) ¹ 2^a

7÷

³

− 34^a

4^´ _{(10) 5}

3^b

6÷ 1 6^b

4

(11) ^{b ÷ b × b2} (12) ^m10÷m4÷m

(13) ^m9÷m4÷m3 (14) ^a4×a3÷a5

(15) ^{¡−a2¢×a4÷a5} (16) 3n^2ס−3n^3¢÷3n⁵

(17) 8a^9÷2a^3÷¡−a^3¢ ₍₁₈₎ ^¡−3y^4¢×(−3y) ×^¡−3y^3¢

(19) (−4m) × (−8m) ÷ (−2m) ₍₂₀₎ m^2÷¡−2m^2¢×¡−6m^4¢

1.

(1) ^{a × a3}

a

(2) ^z4×z3

z

(3) ^c4×c2

c

(4) ^z3×z4

z

(5) ^c4×c3

c

(6) ^{a × a}

a

(7) ^¡−4z^4¢×¡−2z^2¢

8 _z

(8) ^4n4×4n4

16 _n

(9) ^{¡−3z3¢×3z2}

− ^{9 z}

5

(10) ^{(−3b) ס−4b4¢}

12 _b

(11) ^2a3×a

2 _a

(12) ^2z4×4z

8 _z

(13) ^n2×n4×n3

n

(14) ^{n2×n × n3}

n

(15) ^z4×z4×z3

z

(16) ^c3×c4×c

c

(17) ^{¡−b3¢×¡−2b3¢×¡−b4¢}

− ^{2 b}

10

(18) ^{¡−4c2¢×¡−c2¢×¡−3c4¢}

− ^{12 c}

8

2.

(1) ^m6÷m2

m

(2) ^z6÷z3

z

(3) ^m7÷m3

m

(4) ^b3÷b2

b

(5) ^c5÷c

c

(6) ^z5÷z2

z

(7) ^¡−6n^5¢÷2n²

− ^{3 n}

3

(8) ^4b4÷b

4 _b

(9) ^{2z6÷¡−z2¢}

− ^{2 z}

4

(10) ^{¡−3m7¢÷3m4}

−m

3

(11) ^¡−4y^5¢÷y

− ^{4 y}

4

(12) ^¡−8m^5¢÷2m

− ^{4 m}

4

(13) ^a9÷a3÷a2

a

(14) ^a10÷a4÷a

a

(15) ^a10÷a3÷a2

a

(16) ^c6÷c4÷c

c

(17) ^¡−12c^5¢÷3c^3÷(−4c)

c

(18) ^¡−3x^5¢÷x^4÷3x

− ¹

(19) ^{¡−4n8¢÷2n3÷n3}

− ^{2 n}

2

(20) ^{¡−32a9¢÷4a2÷2a4}

− ^{4 a}

3

(1) 2^c 6^c

5

4 ^c

3

(2) 6^y 3^y

−

5

9 ^y

6

(3) ^{³− 3} 2ⁿ

´

×^¡−_6n^4¢

9 _n

(4) ^{³− 1} 3^b

3^´

÷ 16^b

2

− ^{2 b}

(5) ¹ 6^m

6÷ 1 3^m

3

1

2 ^m

3

(6) ^{³− 2} 3^y

4^´

÷

³

− 16^y

2^´

4 _y

(7) ^{c4×c ÷ c2}

c

(8) ^b4×b4÷b6

b

(9) ^{y2×y ÷ y2}

y

(10) ^{c ÷ c × c2}

c

(11) ^y3÷y2×y2

y

(12) ^m4÷m4×m3

m

(13) 3m × (−3m) ÷ 3m²

− ³

(14) ^{2x × x2÷¡−2x3¢}

− ¹

(15) ^¡−2y^3¢×2y^2÷(−y)

4 _y

(16) ^¡−6a^4¢×(−2a) ÷^¡−2a^3¢

− ^{6 a}

2

(17) ^¡−6y^3¢÷¡−3y^2¢×3y³

6 _y

(18) (−12y) ÷ (−3y) ×^¡−4y^4¢

− ^{16 y}

4

(19) ^{8z ÷ 2z ס−3z4¢} (20) ^{¡−2n2¢÷(−2n) ס−4n4¢}

4.

(1) ¹

2^{n × 6}5ⁿ

3

5 ⁿ

2

(2) ^{³− 3} 2^y

2^´

× 16^y

−

1

4 ^y

3

(3) ¹ 2^m

4×_6m⁴

3 _m

(4) ^{³− 5} 3^y

2^´

×_(−6y)

10 _y

(5) ⁶ 5^a

2×

³

− 12^a

3^´

−

3

5 ^a

5

(6) ¹ 6^z

6÷

³

− 43^z

4^´

−

1

8 ^z

2

(7) ³ 4^a

3÷ 5 6^a

2

9

10 ^a

(8) ^{³− 1} 2^a

6^´

÷ 16^a

2

− ^{3 a}

4

(9) ¹ 2^a

7÷

³

− 34^a

4^´

−

2

3 ^a

3

(10) ⁵ 3^b

6÷ 1 6^b

4

10 _b

(11) ^{b ÷ b × b2}

b

(12) ^m10÷m4÷m

m

(13) ^m9÷m4÷m3

m

(14) ^a4×a3÷a5

a

(15) ^{¡−a2¢×a4÷a5}

−a

(16) 3n^2ס−3n^3¢÷3n⁵

− ³

(17) 8a^9÷2a^3÷¡−a^3¢

− ^{4 a}

3

(18) ^¡−3y^4¢×(−3y) ×^¡−3y^3¢

− ^{27 y}

8

(19) (−4m) × (−8m) ÷ (−2m)

− ^{16 m}

(20) ^{m2÷¡−2m2¢×¡−6m4¢}

3 _m