3/30/2023 0 Comments Negative exponent ruleIf you move it to the numerator, its exponent also becomes positive. Therefore, it is proved that value of negative exponent with a base is equal to the. The same actually works for negative exponents on the bottom. The negative exponent in an expression tells us to rewrite this expression by taking the reciprocal of the base and then changing the sign of the exponent. According to zero power rule, the b raised to the power of zero is one. However, this approach will quickly lead to large numbers, which introduces complications. What is the rule for negative exponents 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. If you ever see a negative exponent on the top of a fraction, you know that if you flip it to the bottom, itll become positive. We can easily find the value of \( a^ b \) by multiplying \(a\) out many times. A negative exponent helps to show that a base is on the denominator side of the fraction line. For Rules of Exponents applied to numerical examples instead of algebraic expressions, read Rules of Exponents.Įxponents are a shorthand way for us to write repeated multiplication.
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