Questions: Simplify the expression. Use positive exponents for real numbers. (-2 p^5)(8 p^6)

Simplify the expression. Use positive exponents for real numbers. (-2 p^5)(8 p^6)
Transcript text: Simplify the expression. Use positive exponen real numbers. \[ \left(-2 p^{5}\right)\left(8 p^{6}\right) \]
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Solution

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Solution Steps

To simplify the given expression \(\left(-2 p^{5}\right)\left(8 p^{6}\right)\), we need to multiply the coefficients and add the exponents of the same base.

Step 1: Multiply the Coefficients

To simplify the expression \(\left(-2 p^{5}\right)\left(8 p^{6}\right)\), we first multiply the coefficients: \[ -2 \times 8 = -16 \]

Step 2: Add the Exponents

Next, we add the exponents of the same base \(p\): \[ 5 + 6 = 11 \]

Final Answer

\[ \boxed{-16 p^{11}} \]

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