EXPONENTS
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Exponents are numbers that have been multiplied by themselves. For instance, 3 · 3 · 3 · 3 could be written as the exponent 34: the number 3 has been multiplied by itself 4 times.
Exponents are useful because they let us write long numbers in a shortened form. For instance, this number is very large:
1,000,000,000,000,000,000
But you could write it this way as an exponent:
1018
It also works for small numbers with many decimal places. For instance, this number is very small but has many digits:
.00000000000000001
It also could be written as an exponent:
10-17
Scientists often use exponents to convey very large numbers and very small ones. You'll see them often in algebra problems too.
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