Grant West
07/11/2023 · Middle School
' \( v^{\wedge} k / v^{\wedge}{ }^{\wedge}=\square \) Simplify the expression completely. ' \( w^{\wedge} 19 / w^{\wedge} 6 \) ` \( =\square \) simplify this expression. \( { }^{\wedge} 7 / 7 / 3^{\wedge} 2^{\prime}=\square \)
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Tutor-Verified Answer
Step-by-step Solution
It seems that the calculation for \( v^k / v^2 \) is not supported. Let's simplify it manually.
Given: \( v^k / v^2 \)
To simplify this expression, we can use the rule of exponents which states that \( a^m / a^n = a^{m-n} \).
So, \( v^k / v^2 = v^{k-2} \)
Therefore, the simplified expression is \( v^{k-2} \).
Next, let's simplify the expression \( w^{19} / w^6 \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{w^{19}}{w^{6}}\)
- step1: Simplify the expression:
\(w^{19-6}\)
- step2: Calculate:
\(w^{13}\)
Calculate or simplify the expression \( 7 / 7 / 3^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\frac{7}{7}}{3^{2}}\)
- step1: Divide the terms:
\(\frac{1}{3^{2}}\)
- step2: Evaluate the power:
\(\frac{1}{9}\)
For the expression \( w^{19} / w^6 \), the simplified form is \( w^{13} \).
For the expression \( 7 / 7 / 3^2 \), the simplified form is \( \frac{1}{9} \) or approximately 0.1.
Quick Answer
\( v^k / v^2 = v^{k-2} \)
\( w^{19} / w^6 = w^{13} \)
\( 7 / 7 / 3^2 = \frac{1}{9} \)
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