Question

Why does ((64x)^(1/4))^2 equal (64x)^(1/2)?

Answer 1

What are the exponents in the original expression?

Answer 2

\[((64x) ^{1/4})^{2}\]

Answer 3

do you see the exponents?

Answer 4

yes

Answer 5

can you list them for me?

Answer 6

1/4 and 2

Answer 7

when you have an exponential expression raised to another exponent, you can multiply the exponents, ie use this rule

\[\Large (a^b)^c = a^{b*c}\]

Answer 8

so multiplying 1/4 and 2 gives: (1/4)*2 = (1/4)*(2/1) = (1*2)/(4*1) = 2/4 = 1/2

Answer 9

ohhh wow! thank you

Answer 10

you're welcome