WEBVTT
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Evaluate 125 to the power of a third.
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In order to actually solve this problem, weโll first want to have a look at the exponent.
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And we have a third.
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So what does this mean?
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We actually have an exponent rule.
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And this tells us that ๐ฅ to the power of one over ๐ is equal to the ๐th root of ๐ฅ.
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For example, if we had ๐ฅ to the power of a half, this would be equal to the square root of ๐ฅ.
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Or if we had 16 to the power of a quarter, this would be equal to the fourth root of 16.
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Okay, great!
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So now we know what this means.
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So letโs actually rewrite our term.
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So we can say that 125 to power of a third is equal to the cube root of 125.
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So therefore, the answer is going to be five.
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And this is because five multiplied by five multiplied by five is 125, because we get five multiplied by five is 25, 25 multiplied by five is 125.
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So therefore, we can say that 125 to the power of a third is equal to five.