WEBVTT
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Simplify 14π₯ to the 10th divided by seven π₯ to the fourth plus four π₯ to the sixth, where π₯ is not equal to zero.
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First, we must work inside the parentheses.
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So we need to divide.
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So we divide our numbers.
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14 divided by seven is two.
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But now we need to divide like bases with exponents.
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When dividing with like bases, for example, π₯ to the π divided by π₯ to the π, we can subtract their exponents.
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So itβs equal to π₯ to the π minus π power.
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So we will have two π₯ to the 10 minus four power.
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So before we add, we need to take 10 minus four, resulting in two π₯ to the sixth plus four π₯ to the sixth.
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We have a like basis of π₯.
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And adding with like bases is pretty simple.
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We simply add the numbers in front.
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And two plus four is six.
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And then we keep the like base of π₯ to the sixth power.
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So our final answer is six π₯ to the sixth power.