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\(10^0 = 1\)

\(10^1= 10\)

\(10^2= 100\)

\(10^3= 1000\)

\(10^4= 10000\)

\(10^5= 100000\)

\(10^6 = 1000000\)

50,000 can be written as: \(5 \times 10,000\)

\(10,000 = 10 \times 10 \times 10 \times 10 = 10^4\)

So: \(50,000 = 5 \times 10^4\)

\(34 \times 10^7\) is not written in standard form as the first number is not between 1 and 10. To correct this, we need to divide 34 by 10. To balance out the division of 10, we also need to multiply the second part by 10, which gives 10⁸.

\(34 \times 10^7\) and \(3.4 \times 10^8\) are equal in value, but only the second is written in standard form.

87,000 can be written as \(8.7 \times 10,000\).

\(10,000 = 10 \times 10 \times 10 \times 10 = 10^4\)

So \(87,000 = 8.7 \times 10^4\).

3,000,000 = \(3 \times 10^6\) because the 3 is 6 places away from the units column.

36,000 = \(3.6 \times 10^4\) because the 3 is 4 places away from the units column.