Question

Now try:
left parenthesis, 16, to the power 6 , right parenthesis, to the power 5(16
6
)
5
=

Answer 1

Now try this


(16
6
1
​

)
6
=

Answer 2

Now try:
left parenthesis, 16, start superscript, one sixth, end superscript, right parenthesis, to the power 6(16
6
1
​

)
6
=

Answer 3

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).

Answer 4

Solve for a positive value of xx, expressing your answer with a radical symbol.
xx =

Answer 5

3/4 is that the answer

Answer 6

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, \((16^6)^5 = 16^{30}\).

Answer 7

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, \((16^6)^1 = 16^6\).

Answer 8

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, \(\left(16^{\frac{1}{6}}\right)^6 = 16\).

Answer 9

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:
\[
x^6 = 16
\]

Answer 10

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:

\[
x = \sqrt[3]{4}
\]

Answer 11

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?