Question

put this in number form

\frac{1}{\sqrt{3}}

Answer 1

Use the Quotient Property to generate an equivalent expression to 9 3/5 9 1/5
. What is the simplified exponent?

Answer 2

so the answer is 4/5

Answer 3

its rong

Answer 4

Use the Quotient Property to generate an equivalent expression to 9 3/5 / 9 1/5
. What is the simplified exponent?

Answer 5

so the answer is 2/5

Answer 6

The expression \(\frac{1}{\sqrt{3}}\) can be approximated in decimal form.

Calculating it gives:

\[
\frac{1}{\sqrt{3}} \approx 0.577
\]

So, in number form, it is approximately \(0.577\).

Answer 7

To solve the problem, let's first interpret the expression \( 9^{3/5} \cdot 9^{1/5} \).

Using the **Quotient Property of Exponents** which states that \( a^m \cdot a^n = a^{m+n} \), we can combine the exponents:

\[
9^{3/5} \cdot 9^{1/5} = 9^{(3/5) + (1/5)}
\]

Now, let's add the exponents:

\[
(3/5) + (1/5) = \frac{3 + 1}{5} = \frac{4}{5}
\]

Therefore, the expression simplifies to:

\[
9^{4/5}
\]

So, the simplified exponent is \( \frac{4}{5} \).

Answer 8

Yes, that's correct! After applying the Quotient Property, the simplified exponent for the expression \( 9^{3/5} \cdot 9^{1/5} \) is indeed \( \frac{4}{5} \).

Answer 9

I apologize for the confusion earlier. Let's clarify:

You initially wrote \(9^{3/5} \cdot 9^{1/5}\).

Using the **Product Property of Exponents**, which states that \(a^m \cdot a^n = a^{m+n}\), we add the exponents together:

\[
9^{3/5} \cdot 9^{1/5} = 9^{(3/5) + (1/5)}
\]

Calculating the exponents:

\[
\frac{3}{5} + \frac{1}{5} = \frac{3 + 1}{5} = \frac{4}{5}
\]

So the simplified exponent is correct as \( \frac{4}{5} \).

If you're referring to a different expression or if there's additional context I'm missing, please clarify, and I'll be happy to assist!

Answer 10

Thank you for your patience! Let’s use the **Quotient Property of Exponents** to simplify the expression \( \frac{9^{3/5}}{9^{1/5}} \).

The **Quotient Property of Exponents** states that \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this to your expression:

\[
\frac{9^{3/5}}{9^{1/5}} = 9^{(3/5) - (1/5)}
\]

Now, we subtract the exponents:

\[
\frac{3}{5} - \frac{1}{5} = \frac{3 - 1}{5} = \frac{2}{5}
\]

Thus, the equivalent expression is \( 9^{2/5} \), and the simplified exponent is \( \frac{2}{5} \).

Answer 11

Yes, that's correct! After using the Quotient Property of Exponents on the expression \( \frac{9^{3/5}}{9^{1/5}} \), the simplified exponent is indeed \( \frac{2}{5} \). Thank you for your understanding, and if you have any more questions, feel free to ask!