Simplify. Assume all variables are positive.t41⋅t45Write your answer in the form A or BA, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
Q. Simplify. Assume all variables are positive.t41⋅t45Write your answer in the form A or BA, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.______
Identify Expression: Identify the expression to be simplified.We have the expression t41×t45 and we need to simplify it.
Apply Exponent Property: Apply the property of exponents for multiplying with the same base.When multiplying expressions with the same base, we add the exponents: am×an=a(m+n).
Add Exponents: Add the exponents of t. t1/4×t5/4=t1/4+5/4.
Perform Addition: Perform the addition of the exponents. 41+45=46.
Simplify Exponent: Simplify the exponent. 46 can be simplified to 23 (since 6 divided by 4 equals 1.5, which is the same as 23).
Write Final Expression: Write the final simplified expression. t41×t45=t23.
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