Ответ:
1. 2⁷
2. 3⁴
3. 7³
4. 37²
5. (-1 7/9)²
6. 5³
7. 0,3`⁵ (степінь від'ємна -5)
8. 2¹⁰
9. 3⁵
10. 5²
[tex] {2}^{3} \times {2}^{4} = {2}^{7} = 128[/tex]
[tex] {3}^{13} \div {3}^{9} = {3}^{4} = 81[/tex]
[tex] {7}^{5} \times {7}^{12} \div {7}^{14} = {7}^{17} \div {7}^{14} = {7}^{3} = 343[/tex]
[tex] {37}^{8} \div {37}^{7} \times 37 = 37 \times 37 = 1369[/tex]
[tex] {( - 1 \frac{7}{9} )}^{10} \times {( - 1 \frac{7}{9} )}^{12} \div {( - 1 \frac{7}{9} )}^{20} = {( - 1 \frac{7}{9} )}^{22} \div {( - 1 \frac{7}{9} )}^{20} = {( - 1 \frac{7}{9} )}^{2} = \frac{256}{81} [/tex]
[tex] \frac{ {5}^{12} \times {5}^{4} }{ {5}^{13} } = \frac{ {5}^{16} }{ {5}^{13} } = {5}^{3} = 125[/tex]
[tex] \frac{ {0.3}^{9} \times {0.3}^{18} }{ {0.3}^{23} \times {0.3}^{4} } = \frac{ {0.3}^{27} }{ {0.3}^{27} } = 1[/tex]
[tex] {2}^{3} \times 128 = {2}^{3} \times {2}^{7} = {2}^{10} = 1024[/tex]
[tex]81 \div {3}^{3} \times {3}^{4} = {3}^{4} \div {3}^{3} \times {3}^{4} = 3 \times {3}^{4} = {3}^{5} = 243[/tex]
[tex] \frac{625 \times {5}^{3} }{ {5}^{5} } = \frac{ {5}^{4} \times {5}^{3} }{ {5}^{5} } = \frac{ {5}^{7} }{ {5}^{5} } = {5}^{2} = 25[/tex]
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Answers & Comments
Ответ:
1. 2⁷
2. 3⁴
3. 7³
4. 37²
5. (-1 7/9)²
6. 5³
7. 0,3`⁵ (степінь від'ємна -5)
8. 2¹⁰
9. 3⁵
10. 5²
Verified answer
[tex] {2}^{3} \times {2}^{4} = {2}^{7} = 128[/tex]
[tex] {3}^{13} \div {3}^{9} = {3}^{4} = 81[/tex]
[tex] {7}^{5} \times {7}^{12} \div {7}^{14} = {7}^{17} \div {7}^{14} = {7}^{3} = 343[/tex]
[tex] {37}^{8} \div {37}^{7} \times 37 = 37 \times 37 = 1369[/tex]
[tex] {( - 1 \frac{7}{9} )}^{10} \times {( - 1 \frac{7}{9} )}^{12} \div {( - 1 \frac{7}{9} )}^{20} = {( - 1 \frac{7}{9} )}^{22} \div {( - 1 \frac{7}{9} )}^{20} = {( - 1 \frac{7}{9} )}^{2} = \frac{256}{81} [/tex]
[tex] \frac{ {5}^{12} \times {5}^{4} }{ {5}^{13} } = \frac{ {5}^{16} }{ {5}^{13} } = {5}^{3} = 125[/tex]
[tex] \frac{ {0.3}^{9} \times {0.3}^{18} }{ {0.3}^{23} \times {0.3}^{4} } = \frac{ {0.3}^{27} }{ {0.3}^{27} } = 1[/tex]
[tex] {2}^{3} \times 128 = {2}^{3} \times {2}^{7} = {2}^{10} = 1024[/tex]
[tex]81 \div {3}^{3} \times {3}^{4} = {3}^{4} \div {3}^{3} \times {3}^{4} = 3 \times {3}^{4} = {3}^{5} = 243[/tex]
[tex] \frac{625 \times {5}^{3} }{ {5}^{5} } = \frac{ {5}^{4} \times {5}^{3} }{ {5}^{5} } = \frac{ {5}^{7} }{ {5}^{5} } = {5}^{2} = 25[/tex]