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Simplify. Express your answer using positive exponents.\newline(9t)(7t5)(9t)(7t^5)

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Q. Simplify. Express your answer using positive exponents.\newline(9t)(7t5)(9t)(7t^5)
  1. Identify Components: Identify the components of the expression.\newlineWe have two factors, 9t9t and 7t57t^5, which need to be multiplied together. Both factors have the variable 'tt', so we can use the property of exponents that states when multiplying like bases, we add the exponents.
  2. Multiply Coefficients: Multiply the coefficients.\newlineThe coefficients are the numerical parts of the terms, which are 99 and 77. Multiply these two numbers together.\newline9×7=639 \times 7 = 63
  3. Multiply Variables: Multiply the variables with exponents.\newlineSince the first term 9t9t has an implied exponent of 11 (t1t^1), we add the exponents of 't' when multiplying.\newlinet1×t5=t(1+5)=t6t^1 \times t^5 = t^{(1+5)} = t^6
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have the coefficient 6363 from Step 22 and the variable with exponent t6t^6 from Step 33. Combine these to get the final simplified expression.\newline63×t6=63t663 \times t^6 = 63t^6

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