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Powers of 10 from 10^3 to 10^6. 10 to the power 4 is excluded as it is given as an example.

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The decimal number system is built on powers of ten.

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For example,  $10^4$  can be read as \"ten to the power 4\".  The index or power is 4 in this case.

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$10^4 \\text{ means that } 10 \\text{ is multiplied by itself } 4 \\text{ times}$.

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$10^4 = 10 \\times 10 \\times 10 \\times 10 = 10 000$.

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$10000 \\text{ is a power of ten because } 10000=10^4 .$

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$\\text{Find } 10^\\var{m}$.

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$10^2=10 \\times 10 = 100.$

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$10^3 = 10 \\times 10 \\times 10 = 1000.$

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$10^4 = 10 \\times 10 \\times 10 \\times 10= 10 000.$

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$10^5 = 10 \\times 10 \\times 10 \\times 10 \\times 10= 100 000.$

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$10^6 = 10 \\times 10 \\times 10 \\times 10 \\times 10 \\times 10= 1 000 000.$

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$\\text{Find ten to the power  } \\var{n}$.

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$10^2=10 \\times 10 = 100.$

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$10^3 = 10 \\times 10 \\times 10 = 1000.$

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$10^4 = 10 \\times 10 \\times 10 \\times 10= 10 000.$

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$10^5 = 10 \\times 10 \\times 10 \\times 10 \\times 10= 100 000.$

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$10^6 = 10 \\times 10 \\times 10 \\times 10 \\times 10 \\times 10= 1 000 000.$

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The index (power of 10) for part a).

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The index (power of 10) for part b).

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What is the value of $10^\\var{m}$?

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Do not use commas in your answer.

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What is the value of  $10$  to the power $\\var{n}$?

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Do not use commas in your answer.

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