Question

Simplify:
left parenthesis, n, to the power 6 , right parenthesis, cubed
(n
6
)
3

Answer 1

Which expression is equivalent to 3, to the power minus 4 , times, 3, to the power 6 , question mark3
−4
×3
6
?
Answer
Multiple Choice Answers
3, cubed3
3

start fraction, 1, divided by, 3, to the power 24 , end fraction
3
24

1
​

start fraction, 1, divided by, 3, squared, end fraction
3
2

1
​

3, squared3
2

Answer 2

Which expression is equivalent to start fraction, 6, to the power minus 6 , divided by, 6, squared, end fraction, question mark
6
2

6
−6

​
?

Answer 3

these are the coices Answer
Multiple Choice Answers
6, to the power 46
4

start fraction, 1, divided by, 6, to the power 8 , end fraction
6
8

1
​

6, to the power 86
8

start fraction, 1, divided by, 6, cubed, end fraction
6
3

1
​

Answer 4

Which expression is equivalent to 5, to the power minus 2 , times, 5, to the power 5 , question mark5
−2
×5
5
?
Answer
Multiple Choice Answers
start fraction, 1, divided by, 5, to the power 10 , end fraction
5
10

1
​

5, cubed5
3

start fraction, 1, divided by, 5, cubed, end fraction
5
3

1
​

start fraction, 1, divided by, 5, to the power 7 , end fraction
5
7

1
​

Answer 5

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
=

Answer 6

To simplify \((n^6)^3\), you use the exponentiation rule that states \((a^m)^n = a^{m \cdot n}\).

Applying this rule:

\[
(n^6)^3 = n^{6 \cdot 3} = n^{18}
\]

So, the simplified expression is:

\[
n^{18}
\]

Answer 7

To simplify the expression \(3^{-4} \times 3^6\), you can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).

Applying this property:

\[
3^{-4} \times 3^6 = 3^{-4 + 6} = 3^{2}
\]

So the expression simplifies to \(3^2\).

Now, looking at your multiple choice options, the equivalent expression is:

**3 squared ( \(3^2\) )**

Answer 8

To simplify the expression \(\frac{6^{-6}}{6^{2}}\), you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

Applying this property:

\[
\frac{6^{-6}}{6^{2}} = 6^{-6 - 2} = 6^{-8}.
\]

So, the expression simplifies to \(6^{-8}\).

Thus, the equivalent expression is:

**\(6^{-8}\)**.

Answer 9

Given that we simplified the expression \(\frac{6^{-6}}{6^{2}}\) to \(6^{-8}\), we can rewrite \(6^{-8}\) in another form using the property of negative exponents:

\[
6^{-8} = \frac{1}{6^8}.
\]

Now, looking at your multiple choice options, the equivalent expression is:

**Start fraction, 1, divided by, 6, to the power 8, end fraction** or \(\frac{1}{6^8}\).

Answer 10

To simplify the expression \(5^{-2} \times 5^{5}\), you can use the property of exponents which states that \(a^m \times a^n = a^{m+n}\).

Applying this property:

\[
5^{-2} \times 5^{5} = 5^{-2 + 5} = 5^{3}.
\]

Thus, the simplified expression is \(5^{3}\).

Now, looking at your multiple choice options, the equivalent expression is:

**\(5, \text{ cubed } (5^3)\)**.

Answer 11

To rewrite the expression \((16^8)^4\) as \(16\) to a single power, you can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).

Applying this property gives:

\[
(16^8)^4 = 16^{8 \cdot 4} = 16^{32}.
\]

So, the expression rewritten as \(16\) to a single power is:

**\(16^{32}\)**.