What is the reciprocal of (13xz)/(31zy)?
2 answers:
Answer:
(31zy)/(13xz)
Step-by-step explanation:
A reciprocal is a number that you can multiply the original number by and get a product of 1. To find the reciprocal of a fraction, flip it upside down, putting the numerator in the denominator, and the denominator in the numerator:
If we multiply this fraction by the other, we would end up simplifying it to 1 by cross multiplication.
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So the rule with multiplying exponents of the same base is . Apply this rule here:
Next, the rule with converting negative exponents into positive ones is . Apply this rule here:
<u>Your final answer is 1/49.</u>
<h2>------------------------------------------------</h2>So an additional rule when it comes to exponents is
In this case, your fractional exponent, x^9/7, would be converted to . However, I had just realized you can further expand this.
Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:
Your final answer would be