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A sportsman named Kibet won ksh 1,200,000 in a marathon. write the amount in index form with base 10?

Mathematics

ScanSolve AI Answer

Answer

1.2×1061.2 \times 10^6

343^4

Step-by-step solution

5 steps

Haya, tutasuluhisha maswali haya mawili yaliyobaki.

Swali (juu): Mwanariadha Kibe alishinda Ksh 1,200,000 katika marathon. Andika kiasi hiki katika fomu ya kiashiria na base 10.

Kiasi alichoshinda ni Ksh 1,200,000.
Ili kuandika namba hii katika fomu ya kiashiria na base 10, tunaiandika kama bidhaa ya namba kati ya 1 na 10 na nguvu ya 10.

  1. Andika namba kama bidhaa ya namba kati ya 1 na 10 na nguvu ya 10.

    1,200,000=1.2×1,000,0001,200,000 = 1.2 \times 1,000,000
  2. Badilisha 1,000,000 kuwa nguvu ya 10.

    1,000,000=1061,000,000 = 10^6
  3. Unganisha matokeo.

    1,200,000=1.2×1061,200,000 = 1.2 \times 10^6

    Jibu: 1.2×106\boxed{1.2 \times 10^6}

    Swali (chini): Rahisisha ukiacha jibu lako katika fomu ya kiashiria: 318÷3143^{18} \div 3^{14}.

    Tunatumia sheria ya viashiria: am÷an=am−na^m \div a^n = a^{m-n}.

  4. Tumia sheria ya kugawanya viashiria.

    318÷314=318−143^{18} \div 3^{14} = 3^{18-14}
  5. Toa viashiria.

    318−14=343^{18-14} = 3^4

    Jibu: 34\boxed{3^4}

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