Asked by bluesanta
Now try:
left parenthesis, 16, to the power 6 , right parenthesis, to the power 5(16
6
)
5
=
left parenthesis, 16, to the power 6 , right parenthesis, to the power 5(16
6
)
5
=
Answers
Answered by
bluesanta
Now try this
(16
6
1
)
6
=
(16
6
1
)
6
=
Answered by
bluesanta
Now try:
left parenthesis, 16, start superscript, one sixth, end superscript, right parenthesis, to the power 6(16
6
1
)
6
=
left parenthesis, 16, start superscript, one sixth, end superscript, right parenthesis, to the power 6(16
6
1
)
6
=
Answered by
bluesanta
Let xx = 16, start superscript, one sixth, end superscript16
6
1
. Rewrite the equation in the previous answer box, replacing 16, start superscript, one sixth, end superscript16
6
1
with xx (substitute).
6
1
. Rewrite the equation in the previous answer box, replacing 16, start superscript, one sixth, end superscript16
6
1
with xx (substitute).
Answered by
bluesanta
Solve for a positive value of xx, expressing your answer with a radical symbol.
xx =
xx =
Answered by
bluesanta
3/4 is that the answer
Answered by
GPT-4o mini
To simplify \((16^6)^5\), you can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).
So, applying this property:
\[
(16^6)^5 = 16^{6 \cdot 5} = 16^{30}
\]
Thus, \((16^6)^5 = 16^{30}\).
So, applying this property:
\[
(16^6)^5 = 16^{6 \cdot 5} = 16^{30}
\]
Thus, \((16^6)^5 = 16^{30}\).
Answered by
GPT-4o mini
It looks like you are trying to simplify \((16^6)^1\), which can be interpreted simply as:
\[
(16^6)^1 = 16^6
\]
Any number raised to the power of 1 remains the same. Thus, \((16^6)^1 = 16^6\).
\[
(16^6)^1 = 16^6
\]
Any number raised to the power of 1 remains the same. Thus, \((16^6)^1 = 16^6\).
Answered by
GPT-4o mini
To simplify \(\left(16^{\frac{1}{6}}\right)^6\), you can use the exponent multiplication property, which states that \((a^m)^n = a^{m \cdot n}\).
Applying this property:
\[
\left(16^{\frac{1}{6}}\right)^6 = 16^{\frac{1}{6} \cdot 6} = 16^1 = 16
\]
So, \(\left(16^{\frac{1}{6}}\right)^6 = 16\).
Applying this property:
\[
\left(16^{\frac{1}{6}}\right)^6 = 16^{\frac{1}{6} \cdot 6} = 16^1 = 16
\]
So, \(\left(16^{\frac{1}{6}}\right)^6 = 16\).
Answered by
GPT-4o mini
Given that \( x = 16^{\frac{1}{6}} \), we can rewrite the equation from the previous answer as:
\[
\left(x\right)^6
\]
Now applying the exponent multiplication property:
\[
\left(x\right)^6 = x^{6}
\]
Since \( x = 16^{\frac{1}{6}} \), we get:
\[
\left(16^{\frac{1}{6}}\right)^6 = x^6
\]
Thus, substituting back we have:
\[
x^6 = 16
\]
So, overall, we can express it as:
\[
x^6 = 16
\]
\[
\left(x\right)^6
\]
Now applying the exponent multiplication property:
\[
\left(x\right)^6 = x^{6}
\]
Since \( x = 16^{\frac{1}{6}} \), we get:
\[
\left(16^{\frac{1}{6}}\right)^6 = x^6
\]
Thus, substituting back we have:
\[
x^6 = 16
\]
So, overall, we can express it as:
\[
x^6 = 16
\]
Answered by
GPT-4o mini
To solve for \( x \) in the equation \( x^6 = 16 \), you can take the sixth root of both sides:
\[
x = 16^{\frac{1}{6}}
\]
Now, we can express \( 16 \) using a radical. Since \( 16 = 2^4 \), we can rewrite this as:
\[
x = (2^4)^{\frac{1}{6}} = 2^{\frac{4}{6}} = 2^{\frac{2}{3}}
\]
To express \( 2^{\frac{2}{3}} \) using a radical symbol, we can write it as:
\[
x = \sqrt[3]{2^2} = \sqrt[3]{4}
\]
So, the positive value of \( x \) is:
\[
x = \sqrt[3]{4}
\]
\[
x = 16^{\frac{1}{6}}
\]
Now, we can express \( 16 \) using a radical. Since \( 16 = 2^4 \), we can rewrite this as:
\[
x = (2^4)^{\frac{1}{6}} = 2^{\frac{4}{6}} = 2^{\frac{2}{3}}
\]
To express \( 2^{\frac{2}{3}} \) using a radical symbol, we can write it as:
\[
x = \sqrt[3]{2^2} = \sqrt[3]{4}
\]
So, the positive value of \( x \) is:
\[
x = \sqrt[3]{4}
\]
Answered by
GPT-4o mini
Let's clarify the solution step:
We determined that \( x^6 = 16 \).
Taking the sixth root gives us:
\[
x = 16^{\frac{1}{6}}
\]
We then expressed \( 16 \) as \( 2^4 \):
\[
x = (2^4)^{\frac{1}{6}} = 2^{\frac{4}{6}} = 2^{\frac{2}{3}}
\]
To rewrite \( 2^{\frac{2}{3}} \) using radical notation:
\[
x = \sqrt[3]{2^2} = \sqrt[3]{4}
\]
This is the expression we derived.
If you meant \( \frac{3}{4} \) specifically, that does not represent the value we've derived for \( x \). The solution provides \( x = \sqrt[3]{4} \), which is not equal to \( \frac{3}{4} \).
Thus, the final answer is:
\[
x = \sqrt[3]{4}
\]
If you are asking if \( \frac{3}{4} \) is the value of \( x \), it is not, according to the calculations we've done. Would you like further clarification on any part of this?
We determined that \( x^6 = 16 \).
Taking the sixth root gives us:
\[
x = 16^{\frac{1}{6}}
\]
We then expressed \( 16 \) as \( 2^4 \):
\[
x = (2^4)^{\frac{1}{6}} = 2^{\frac{4}{6}} = 2^{\frac{2}{3}}
\]
To rewrite \( 2^{\frac{2}{3}} \) using radical notation:
\[
x = \sqrt[3]{2^2} = \sqrt[3]{4}
\]
This is the expression we derived.
If you meant \( \frac{3}{4} \) specifically, that does not represent the value we've derived for \( x \). The solution provides \( x = \sqrt[3]{4} \), which is not equal to \( \frac{3}{4} \).
Thus, the final answer is:
\[
x = \sqrt[3]{4}
\]
If you are asking if \( \frac{3}{4} \) is the value of \( x \), it is not, according to the calculations we've done. Would you like further clarification on any part of this?
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.