Question

What are Negative Exponents?

Answer 1

A negative exponent means how many times to divide by the number. Example: 8-1 = 1 ÷ 8 = 1/8 = 0.125. Or many divides: Example: 5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008.

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Answer 2

Negative exponents:

${a}^{ - n} = \frac{1}{ {a}^{n} } \: if \: a = 0$

$eg. {a}^{ - 3} \: \frac{1}{ {a}^{3} }. \: \: \: \: \: \: \: \: \: \: \: \: {x}^{ - 5} = \frac{1}{ {x}^{5} }$

A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. ... We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.