Will give medal!
How do I simplify the square root of the fourth root of 8 in exponential form?

Question

Will give medal! 
How do I simplify the square root of the fourth root of 8 in exponential form?

djjo · Answer

attachment

anonymous · Answer

$$\sqrt{\sqrt[4]{8}}=\sqrt{8^{\frac{ 1 }{ 4}}}=(8^{\frac{ 1 }{ 4 }})^{\frac{ 1 }{ 2 }}=8^{\frac{ 1 }{ 8}}=(2^{3})^{\frac{ 1 }{ 8 }}=2^{\frac{ 3 }{ 8 }}$$

djjo · Answer

But I'm confused on how you got that @peachpi

anonymous · Answer

how is it confusing? things to power are multiplied with each other

anonymous · Answer

square root is the same as the exponent ½
fourth root is exponent ¼

djjo · Answer

oh ok thank you @peachpi

djjo · Answer

@peachpi  Would you mind if I ask you another question?

anonymous · Answer

ok

djjo · Answer

How would I simply this expression in exponential form?

anonymous · Answer

ok. this is the same type of problem. How would you write the numerator with an exponent?

djjo · Answer

3 and 1/2

anonymous · Answer

exponents with bases being divided are subtracted eg. 3^(1/2) / 3^(1/4) = 3^ ((1/2) - (1/4))

anonymous · Answer

Yeah. Then √3 is also a part of the denominator so you can do this
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