Using Properties of Exponents to Derive Rational Exponents
Read this topicExplanations 2
- Extending Properties From Integer to Rational Exponents While extending the notion of exponents from integers to rationals, we want to make sure of few things. We want the laws …
By Anish Sevekari, Po-Shen Loh, Expii Team, Victor Wang
- (Video) Rational Exponents by yaymath YayMath has a great video explaining the properties of Rational Exponents.
By Ben Ferrara, Alex Federspiel
Problems 3
- Compute 810.16⋅810.0981^{0.16} \cdot 81^{0.09}810.16⋅810.09.
- If −1<x<1-1 < x < 1−1<x<1 and −1<y<1-1 < y < 1−1<y<1, define the "relativistic sum'' x⊕yx \oplus yx⊕y to be x⊕y=x+y1+xy.x \oplus y = \frac{x + y}{1 + xy} .x⊕y=1+xyx+y. The oper…
- Let yyy be a positive rational number. If x>1x > 1x>1, what is the smallest value of xxx such that xyx^yxy is an integer?