SOLUTION: Without using a calculator which is larger: x= 7^1/4 or y=4^1/3

Algebra.Com
Question 992257: Without using a calculator which is larger: x= 7^1/4 or y=4^1/3

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Which is larger? (without using a calculator)



Rewrite the exponents with a common denominator



Get them with a common fraction exponent:



Evaluate the bases without a calculator:

,  



And since 343 > 256



So




Edwin

RELATED QUESTIONS

Without using a calculator or computer, determine which is larger, 2^3000 or... (answered by richwmiller,CharlesG2)
Without using a calculator, tell which is larger: the positive 6th root of 10 or the 3rd... (answered by stanbon,rapaljer)
Given that tan x°=3/7 for which x is an acute angle, find without using using... (answered by Alan3354,ikleyn)
solve without using a calculator: 5^(3-x)=... (answered by Theo,jsmallt9)
Evaluate the expression without using a calculator.... (answered by robertb,stanbon)
Evaluate the expression without using a calculator 4 log(3)... (answered by stanbon)
how do I graph y=x^3-5x+1 without using a... (answered by ikleyn,josgarithmetic,math_tutor2020)
Evaluate without using a calculator (5/6 of(4 1/3-3 5/6))/(5/10 x 3/25+1 5/9÷2 1/3) (answered by josgarithmetic,MathTherapy)
Use properties of logarithm to expand the logarithmic expression as much as possible.... (answered by stanbon)