Question

Which of the following is the simplified form of fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x?

Answer 1

u mean \[\large\ 5\sqrt{x} \times 5\sqrt{x} \times 5\sqrt{x} \times 5\sqrt{x} \] ?

Answer 2

Yes! @***[ISURU]***

Answer 3

so...
\[\large\ a \times a \times a \times a = a^4\]
if u think \[\large\ a = 5 \sqrt{x}\]
then its \[\large\ (5\sqrt{x})^4 = 5^4 \times (\sqrt{x})^4 = 5^4 \times (x^\frac{ 1 }{ 2 })^4 = 5^4 \times x^{4 \times \frac{ 1 }{ 2 }} \]\[\large\ = 5^4 \times x^2 \]

Answer 4

got it ?

Answer 5

this are the only answer choices:

a) x to the 1 over fifth power

b) x to the 4 over fifth power

c) x to the 4 over twentieth power

d) x

Answer 6

is it b?

Answer 7

wait ...

Answer 8

u mean a question like this.. rnt u ?
\[\large\ \sqrt[5]{x} \times \sqrt[5]{x} \times \sqrt[5]{x} \times \sqrt[5]{x}\]

Answer 9

these r 2 different notations
\[\large\ 5 \sqrt{x} = 5 \times \sqrt{x}\]
but
\[\large\ \sqrt[5]{x} = x^\frac{ 1 }{ 5 } \]

Answer 10

thankyou! , can u help with one more?

Answer 11

sure, but did u find the right answer for this one ?

Answer 12

yeah. the other one is Which of the following is the radical expression of 4 times d to the three eighths power?

A) 4 times the eighth root of d to the third power

B) 4 times the third root of d to the eighth power

C) eighth root of 4 d to the third power

D) third root of 4 d to the eighth power

Answer 13

so this one speaks about...
\[\large\ 4 \times (d)^\frac{ 3 }{ 8 }\]
ur first choice says\[\large\ 4 \times \sqrt[8]{d} \]
and the second is \[\large\ 4 \times (\sqrt[3]{d})^8\]
the third one is\[\large\ (\sqrt[8]{4d})^3\]
and the last one is\[\large\ (\sqrt[3]{4d})^8\]
now ...what do u think ?

Answer 14

srry my mistake the first choice is\[\large\ 4 \times (\sqrt[8]{d})^3\]

Answer 15

heres the help u need\[\large\ d^\frac{ 3 }{ 8 } = d^{\frac{ 1 }{ 8 } \times 3} = (d^\frac{ 1 }{ 8 })^3 = (\sqrt[8]{d})^3\]
now u will be able to find out ur answer...and srry for the late reply.. i was busy with some work