11 answers
To rewrite the expression \( 3^{-1/2} \) using the negative exponent rule, we can use the rule that states \( a^{-n} = \frac{1}{a^n} \).
Applying this rule to \( 3^{-1/2} \):
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Since \( 3^{1/2} \) is equivalent to the square root of 3, we can further simplify it:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
So, the equivalent expression for \( 3^{-1/2} \) is
\[ \frac{1}{\sqrt{3}} \]
Sure! The expression \( 3^{-1/2} \) can be rewritten using the negative exponent rule:
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Since \( 3^{1/2} \) is the square root of 3, we have:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
So, the final equivalent expression is:
\[ \frac{1}{\sqrt{3}} \]
To express \(\frac{1}{\sqrt{3}}\) as a decimal, you can calculate the square root of 3 and then take the reciprocal.
The approximate value of \(\sqrt{3}\) is about \(1.732\). Therefore:
\[ \frac{1}{\sqrt{3}} \approx \frac{1}{1.732} \approx 0.577 \]
So, \(\frac{1}{\sqrt{3}}\) is approximately equal to \(0.577\).
\( 0.577 \)
To find the missing value \( x \) in the equation
\[ x \cdot \frac{1}{5} = 6, \]
you can solve for \( x \) by multiplying both sides of the equation by 5.
\[ x = 6 \cdot 5 \]
Calculating that gives:
\[ x = 30. \]
So, the missing value is \( x = 30 \).
Let's simplify the expression and then find the missing value using inverse operations for the equation:
\[ x \cdot \frac{1}{5} = 6. \]
The expression \( x \cdot \frac{1}{5} \) can be rewritten as:
\[ \frac{x}{5} = 6. \]
To isolate \( x \), we can use inverse operations by multiplying both sides of the equation by 5:
\[ x = 6 \cdot 5. \]
Calculating that gives:
\[ x = 30. \]
The missing value is \( x = 30 \).
