3.303 a) $(3 + c)^4 = (3 + c)(3 + c)(3 + c)(3 + c)$
б) $(b - 4)^2 = (b - 4)(b - 4)$
в) $(x + y)^2 = (x + y)(x + y)$
г) $(a - b)^3 = (a - b)(a - b)(a - b)$
3.304 a) $35^2 = 35 * 35 = 1225$
б) $100^2 = 100 * 100 = 10000$
в) $10^3 = 10 * 10 * 10 = 1000$
г) $11^3 = 11 * 11 * 11 = 1331$
д) $15^3 = 15 * 15 * 15 = 3375$
е) $103^2 = 103 * 103 = 10609$
3.305 a) $2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64$
б) $10^5 = 10 * 10 * 10 * 10 * 10 = 100000$
в) $12^1 = 12$
г) $3^4 = 3 * 3 * 3 * 3 = 81$
д) $53^1 = 53$
е) $3^5 = 3 * 3 * 3 * 3 * 3 = 243$
3.306 a) $4^2 + 5 = 16 + 5 = 21$
б) $4 + 5^2 = 4 + 25 = 29$
в) $(4 + 5)^2 = 9^2 = 81$
г) $4^2 + 5^2 = 16 + 25 = 41$
3.307 a) $4^3 + 6 = 64 + 6 = 70$
б) $6^3 + 4 = 216 + 4 = 220$
в) $(6 + 4)^3 = 10^3 = 1000$
г) $(6^3 - 4^3) : (6 - 4) = (216 - 64) : 2 = 152 : 2 = 76$
3.308 a) $2^8 + 3^2 = 256 + 9 = 265$
б) $10^3 : 5^2 = 1000 : 25 = 40$
в) $7^2 * 2^4 = 49 * 16 = 784$
г) $7^3 - 35 = 343 - 35 = 308$
3.309 a) $10^2 : (6^2 + 2^0) = 100 : (36 + 1) = 100 : 37 = 2 \frac{26}{37}$
б) $(10^2 - 4^3) * 3^3 = (100 - 64) * 27 = 36 * 27 = 972$
в) $2 * 6^3 - 7^3 = 2 * 216 - 343 = 432 - 343 = 89$
г) $4 * 3^4 + 2^8 = 4 * 81 + 256 = 324 + 256 = 580$
3.310 a) $12^2 + 9^2 = (12 + 9)^2$
$144 + 81 = 225 + 144 + 81 = 441$ - неверно
б) $13^2 - 5^2 = (13 - 5)^2$
$169 - 25 = 64$
$144 \neq 64$ - неверно
в) $12^2 + 9^2 = 15^2$
$144 + 81 = 225$
$225 = 225$ - верно
г) $13^2 - 5^2 = 12^2$
$169 - 25 = 144$
$144 = 144$ - верно
3. 311 a) $5^3 * 2^3 = 10^3$
$125 * 8 = 1000$
$1000 = 1000$ - верно
б) $3^3 * 3^2 = 3^6$
$27 * 9 = 729$
$3^6 = 729$ - верно
в) $5^2 * 2^2 = (5 * 2)^4$
$25 * 4 = 10^4$
$100 \neq 10000$ - неверно
г) $3^3 * 3^2 = 3^5$
$27 * 9 = 243$
$243 = 243$ - верно
3. 312 a) $3 * 2^8$ и $(3 * 2)^3$
$3 * 256 = 768$
$6^3 = 216$
$768 > 216$
б) $2^4 * 2$ и $2^4$
$16 * 2 = 32$
$32 > 16$
в) $(4 * 3)^2$ и $4^2 * 3^2$
$12^2 = 144$
$16 * 9 = 144$
$144 = 144$
г) $2^3 * 2^5$ и $2^8$
$8 * 32 = 256$
$2^8 = 256$
$256 = 256$
3. 313 a) $144 = a^2$
$a = 12$
б) $a^2 = 169$
$a = 13$
в) $a^2 = 1000000$
$a = 1000$
г) $216 = a^3$
$a = 6$
д) $a^3 = 729$
$a = 9$
3. 314 a) $4 * 10^2 = 400$
б) $16 * 10^4 = 160000$
в) $9 * 10^6 = 9000000$
г) $108 * 10^7 = 1080000000$
3. 315 a) $1236078 = 1000000 + 200000 + 30000 + 6000 + 70 + 8$
б) $33033330 = 30000000 + 3000000 + 30000 + 3000 + 300 + 30$
в) $11101110100 = 10000000000 + 1000000000 + 100000000 + 1000000 + 100000 + 10000 + 100$
г) $246135789000 = 200000000000 + 40000000000 + 6000000000 + 100000000 + 30000000 + 5000000 + 700000 + 80000 + 9000$
3. 316 a) $10^7 + 9 * 10^6 + 5 * 10^4 + 10^2 = 10000000 + 9000000 + 50000 + 100 = 19050100$
б) $6 * 10^9 + 2 * 10^8 + 3 * 10^5 + 10^3 + 4 = 6000000000 + 200000000 + 300000 + 1000 + 4 = 6200301004$
в) $9 * 10^5 + 7 * 10^4 + 8 * 10^3 + 5 * 10 = 900000 + 700000 + 8000 + 50 = 1608050$
г) $10^{10} + 10^7 + 10^4 + 10 + 1 = 10000000000 + 10000000 + 10000 + 10 + 1 = 10010010011$
3. 317
Меркурий: $3,3 * 10^{23}$
Венера: $4,9 * 10^{24}$
Земля: $6 * 10^{24}$
Марс: $6,4 * 10^{23}$
Сатурн: $5,68 * 10^{26}$
Юпитер: $1,8766 * 10^{27}$
