Q. Simplify. Express your answer using positive exponents.(5p)(7p6)
Identify Components: Identify the components of the expression.We have two terms, 5p and 7p6, which we need to multiply together. Both terms have the variable p, so we can use the property of exponents that states when multiplying like bases, we add the exponents.
Multiply Coefficients: Multiply the coefficients (numbers in front of the variables).Multiply 5 by 7 to get the coefficient for the final answer.5×7=35
Apply Exponent Rule: Apply the exponent rule for multiplying like bases.Since both terms have the base p, we add the exponents. The first term has an implied exponent of 1 (p is the same as p1), so we add 1 and 6.p1×p6=p(1+6)=p7
Combine Results: Combine the results from Step 2 and Step 3.We have the coefficient 35 from Step 2 and the variable with the exponent p7 from Step 3. We combine these to get the final simplified expression.35×p7=35p7
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