This document contains examples of solving radical equations by finding the number that when raised to the radical power equals the number under the radical. It provides examples of solving equations of the form 2√49, 4√81, 4√10000, and 5√-32 by listing the powers of numbers from 1 to 10 and determining which number raised to the radical power equals the number under the radical.

1. Christopher Chan Benchmark Part 1 Roots and Fractional Exponents Fx-70

2. Consider the examples below and check them in your head or on your calculator.

3. 2√ 49 = x x^2= 49 X is the number multiplied by itself to get 49. 1^2=1 5^2=25 2^2=4 6^2=36 3^2=9 7^2=49 4^2=16 X must equal 7 since 7^2=49.

4. 4√ 81 = x x^4 = 81 X is the number multiplied by itself 4 times to get 81. 1^4=1 2^4=16 3^4=81 X must equal 3 since 3^4=81.

5. 4√ 10000 = x x^4= 10000 X is the number multiplied by itself 4 times to get 10000. 1^4=1 6^4=1296 2^4=16 7^4=2401 3^4=81 8^4=4096 4^4=256 9^4=6561 5^4=625 10^4=10000 X must equal 10 since 10^4=10000.

6. 5√-32 = x x^5=-32 X is the number multiplied by itself 5 times to get -32. -1^5= -1 1^5=1 -2^5= -32 2^5=32 -3^5= -243 3^5=243 -4^5= -1024 4^5=1024 -5^5= -3125 5^5=3125 X must equal -2 since -2^5=-32.