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Simplify 𝑎 divided by 𝑏 to the seventh power to the 10th power.
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The first thing we can go ahead and do is note that 𝑎 can also be written as 𝑎 to the first power.
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After that, we wanna distribute this 10th power to the 𝑎 to the first power and 𝑏 to the seventh power.
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Doing this is taking a power to a power.
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And that means we multiply the exponents together.
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𝑎 to the first power becomes 𝑎 to the one times 10 power.
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And 𝑏 to the seventh power becomes 𝑏 to the seven times 10 power.
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Bring down the division, 𝑎 to the 10th divided by 𝑏 to the 70th.
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We can rewrite this division as a fraction, 𝑎 to the 10th over 𝑏 to the 70th.
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Our simplified form is 𝑎 to the 10th power over 𝑏 to the 70th power.