Q. Simplify. Express your answer using positive exponents.(7t)(3t5)
Identify Components: Identify the components of the expression.We have two factors, 7t and 3t5, which need to be multiplied together. Both factors contain the variable t, 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 7 by 3 to get the coefficient for the final expression.7×3=21
Apply Exponent Rule: Apply the exponent rule for multiplying like bases.Since t has an implied exponent of 1 in the first term (7t), we add the exponents of t from both terms.t1×t5=t(1+5)=t6
Combine Results: Combine the results from Step 2 and Step 3.We have the coefficient 21 from Step 2 and the variable with its exponent t6 from Step 3. Combine these to get the final simplified expression.21×t6=21t6
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