It seems like there might be some missing information in your question regarding what \( x \) is equal to or the equation that needs to be solved. If you can provide the equation or context in which \( x \) appears, I'll be happy to help you solve for \( x \).
Solve for a positive value of xx, expressing your answer with a radical symbol.
xx =
3 answers
This module is intended to help you understand fractional exponents.
, On this question page, there is an equation with an input box to complete, followed by a try button. When you press the button, if your answer is correct, another question will appear. This will continue for a series of questions until the final answer area appears.Rewrite the expression below as 16 to a single power:
left parenthesis, 16, to the power 8 , right parenthesis, to the power 4(16
8
)
4
= 16, to the power 3216
32
left parenthesis, 16, to the power 6 , right parenthesis, to the power 5(16
6
)
5
= 16, to the power 3016
30
left parenthesis, 16, start superscript, one sixth, end superscript, right parenthesis, to the power 6 , equals(16
6
1
)
6
=1616
Let x, equals, 16, start superscript, one sixth, end superscriptx=16
6
1
x, to the power 6 , equals, 16x
6
=16
Solve for a positive value of xx, expressing your answer with a radical symbol.
xx =
, On this question page, there is an equation with an input box to complete, followed by a try button. When you press the button, if your answer is correct, another question will appear. This will continue for a series of questions until the final answer area appears.Rewrite the expression below as 16 to a single power:
left parenthesis, 16, to the power 8 , right parenthesis, to the power 4(16
8
)
4
= 16, to the power 3216
32
left parenthesis, 16, to the power 6 , right parenthesis, to the power 5(16
6
)
5
= 16, to the power 3016
30
left parenthesis, 16, start superscript, one sixth, end superscript, right parenthesis, to the power 6 , equals(16
6
1
)
6
=1616
Let x, equals, 16, start superscript, one sixth, end superscriptx=16
6
1
x, to the power 6 , equals, 16x
6
=16
Solve for a positive value of xx, expressing your answer with a radical symbol.
xx =
To solve the equation given in your problem, we start with the expression you provided:
\[ x = 16^{\frac{1}{6}} \]
Now, we need to express \( x \) as a radical.
The expression \( 16^{\frac{1}{6}} \) can be rewritten using radicals. Since \( 16 = 2^4 \), we have:
\[ x = (2^4)^{\frac{1}{6}} = 2^{\frac{4}{6}} = 2^{\frac{2}{3}} \]
Now, expressing \( 2^{\frac{2}{3}} \) as a radical:
\[ 2^{\frac{2}{3}} = \sqrt[3]{2^2} = \sqrt[3]{4} \]
Thus, the positive value of \( x \) expressed with a radical symbol is:
\[ x = \sqrt[3]{4} \]
So, the final answer is:
\[ x = \sqrt[3]{4} \]