WEBVTT
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Consider the expression three π₯ cubed π¦ over five π₯π¦ divided by six π₯ to the power of four over five π¦ to the power of four.
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It is often easier to rewrite the expression using the division symbol as follows: three π₯ cubed π¦ divided by five π₯π¦ divided by six π₯ to the power of four divided by five π¦ to the power of four.
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Then, we can rewrite the expression using the multiplication symbol: three π₯ cubed π¦ divided by five π₯π¦ multiplied by five π¦ to the power of four divided by six π₯ to the power of four.
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Now, use this form to help you simplify the original expression.
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There are two ways of approaching this problem.
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We could cancel or simplify first and then multiply the two fractions or we could multiply the two fractions and simplify this single fraction.
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Weβre going to use the second method.
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Multiplying the two numerators gives us 15π₯ cubed π¦ to the power of five as three π₯ cubed π¦ multiplied by five π¦ to the power of four is equal to 15π₯ cubed π¦ to the power of five.
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In the same way, multiplying the denominators, five π₯π¦ multiplied by six π₯ to the power of four, gives us 30π₯ to the power of five π¦.
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We can then cancel or simplify this expression.
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15 divided by 30 is equal to a half.
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π₯ cubed divided by π₯ to the power of five leaves us π₯ squared on the denominator.
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And π¦ to the power of five divided by π¦ is π¦ to the power of four.
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Therefore, the simplified expression is π¦ to the power of four divided by two π₯ squared.
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Rewriting the initial expression has made it easier to simplify.