Negative and zero exponents worksheet 2026

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  4. Move on to Section I, where you will simplify expressions involving negative and zero exponents. Carefully read each problem and write your answers using positive exponents only.
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2:39 7:23 Negative exponents - YouTube YouTube Start of suggested clip End of suggested clip So this can just be simplified to 3 squared 3 squared is equal to 3 times 3 3 times 3 is equal to 9.MoreSo this can just be simplified to 3 squared 3 squared is equal to 3 times 3 3 times 3 is equal to 9. So 1 over 3 to the negative 2 exponent is equal to positive 9.
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
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\u207b\u207f as 1 / x\u207f. For example, 2\u207b\u2074 = 1 / (2\u2074) = 1/16.

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0:36 2:37 Negative numbers and exponents - YouTube YouTube Start of suggested clip End of suggested clip 3 times negative 3 when we expand it out. And we know that when you have a negative times a negativeMore3 times negative 3 when we expand it out. And we know that when you have a negative times a negative you're gonna get positive.
A base that has a negative exponent can be changed to a fraction. The base and the exponent become the denominator, but the exponent loses its negative sign in the process. You then cap it all off with a 1 in the numerator.
3:28 5:41 Zero and Negative Exponents - Algebra I - YouTube YouTube Start of suggested clip End of suggested clip You're gonna do it just as you would if it was just normal positive exponent but instead it would beMoreYou're gonna do it just as you would if it was just normal positive exponent but instead it would be 1 over whatever the value you get so 3 to the power of negative 1 is 1 over 3 if.
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^0 = 1.

negative exponent worksheet