Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-5 Solving Square Root and Other Radical Equations - Practice and Problem-Solving Exercises - Page 397: 78

Answer

$2$

Work Step by Step

We want to break down the number $4$ to a smaller base raised to a power: $(2^2)^{1/2}$ Raising a power to a power means we can multiply the two exponents together, keeping the same base: $2^{(2)(1/2)}$ Multiply to simplify the exponents: $2^{2/2}$ Reduce the fraction in the exponent by dividing both numerator and denominator by $2$, the greatest common factor: $2^{1}$ When we raise a number to the power of $1$, then the number can just be written as the base without an exponent: $2$
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