Question
\( 1.1 \quad \frac { p ^ { 8 } p ^ { 3 } } { p ^ { 4 } p } \)
Ask by Wang Lang. in South Africa
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( p^6 \)
Solution
Calculate or simplify the expression \( (p^8 * p^3) / (p^4 * p) \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\left(p^{8}\times p^{3}\right)}{\left(p^{4}\times p\right)}\)
- step1: Remove the parentheses:
\(\frac{p^{8}\times p^{3}}{p^{4}\times p}\)
- step2: Multiply by \(a^{-n}:\)
\(p^{8}\times p^{3}\times p^{-4}\times p^{-1}\)
- step3: Multiply the terms:
\(p^{8+3-4-1}\)
- step4: Calculate:
\(p^{6}\)
The simplified form of the expression \( \frac{p^8 \cdot p^3}{p^4 \cdot p} \) is \( p^6 \).
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Simplify this solution Mind Expander
To simplify the expression \( \frac { p ^ { 8 } p ^ { 3 } } { p ^ { 4 } p } \), we start by applying the laws of exponents. The numerator can be simplified as follows: \( p^8 \cdot p^3 = p^{8+3} = p^{11} \). Now, for the denominator: \( p^4 \cdot p = p^{4+1} = p^{5} \). Putting it together, we get: \[ \frac{p^{11}}{p^{5}} = p^{11-5} = p^6 \] So, the simplified expression is \( p^6 \). Now, let's break down each step for clarity and be careful with those exponent rules!
