Упр.7.19 ГДЗ Мерзляк Поляков 7 класс (Алгебра)

1) 2^2•2^3; 2) (2^2 )^3; 3) 3^2•3•3^3;
4) 0,3^8 :0,3^5; 5) 7^9•(1/14)^9; 6) 12,5^3•8^3.

1. $$2^2 \cdot 2^3 = 2^{2+3} = 2^5 = 32.$$
2. $$(2^2)^3 = 2^{2\cdot 3} = 2^6 = 64.$$
3. $$3^2 \cdot 3 \cdot 3^3 = 3^2 \cdot 3^1 \cdot 3^3 = 3^{2+1+3} = 3^6 = 729.$$
4. $$0{,}3^8 : 0{,}3^5 = 0{,}3^{8-5} = 0{,}3^3 = 0{,}027.$$
5. $$7^9 \cdot \left(\frac{1}{14}\right)^9 = \left(7 \cdot \frac{1}{14}\right)^9 = \left(\frac{7}{14}\right)^9 = \left(\frac{1}{2}\right)^9 = \frac{1}{512}.$$
6. $$12{,}5^3 \cdot 8^3 = (12{,}5 \cdot 8)^3 = 100^3 = 1\,000\,000.$$

Ответ

1) 32; 2) 64; 3) 729; 4) 0,027; 5) $$\frac{1}{512}$$; 6) 1 000 000.