Q. Simplify. Express your answer using positive exponents.(9t)(7t5)
Identify Components: Identify the components of the expression.We have two factors, 9t and 7t5, which need to be multiplied together. Both factors have 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.The coefficients are the numerical parts of the terms, which are 9 and 7. Multiply these two numbers together.9×7=63
Multiply Variables: Multiply the variables with exponents.Since the first term 9t has an implied exponent of 1 (t1), we add the exponents of 't' when multiplying.t1×t5=t(1+5)=t6
Combine Results: Combine the results from Step 2 and Step 3.We have the coefficient 63 from Step 2 and the variable with exponent t6 from Step 3. Combine these to get the final simplified expression.63×t6=63t6
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