Question

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

A- the eighth root of 2 to the fifth power
B- the fifth root of 2 to the eighth power
C- the square root of 2 to the 5 over 8 power
D- the fourth root of 2 to the sixth power

Answer 1

use this

\[x^{1/3} = \sqrt[3]{x}\]

Answer 2

\[\frac{ 2^{7/8} }{ 2^{1/4} } = ?\]

Answer 3

and use this

\[\frac{ a^{x} }{ a^{y} } = a^{(x-y)}\]

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
\[\frac{ 2^{7/8} }{ 2^{1/4} } = ?\]
\(\color{#0cbb34}{\text{End of Quote}}\)
how can you re-write this using the above written formula ?

Answer 5

a = 2
x = 7/8
y = 1/4

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
and use this

\[\frac{ a^{x} }{ a^{y} } = a^{(x-y)}\]
\(\color{#0cbb34}{\text{End of Quote}}\)
substitute them inside this formula

Answer 7

@kenzie126 do you understand ?

Answer 8

@supie any idea ?