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Rules of exponents

# Exponential expressions

Repeated multiplication if the same factor can be written using an exponent.

The exponent indicates how many times the factor, called the base, occurs in the multiplication. The multiplication 2·2·2·2 is in factored form. The exponential expresion 24 is in exponential form.

 31 is read "the first power of three" or just "three" (Usually the exponent 1 is not written) 32 is read "the second power of three" or "three squared" 33 is read "the third power of three" or "three cubed" 34 is read "the fourth power of three" 35 is read "the fifth power of three" a5 is read "the fifth power of a"

Any number (except 0) raised to the zero power is equal to 1.

$2\text\;x\;2\;x\;2\;x\;2=2\fs2^4$

$3\tex\;x\;3\;x\;3\;x\;3\;x\;3\;x\;3\;x\;3=3\fs2^7$

$5\text\;x\;5\;x\;5\;x\;5\;x\;5\;x\;5=5\fs2^6$

There is a geometric interpretation of the first three natural-number powers.

Write the following numbers in exponential form:
$13\text\;x\;13\text\;x\;13\text\;x\;13\text\;x\;13\text\;x\;13=$