Q. Simplify. Express your answer using a single exponent. (12d7)2
Apply Power Separately: Apply the power to both the coefficient and the variable separately.When raising a power to a power, we distribute the exponent to both the coefficient and the variable. (12d7)2=122×(d7)2
Calculate Coefficient Square: Calculate the square of the coefficient 12. 122=12×12=144
Apply Exponent to Variable: Apply the exponent to the variable with the existing exponent.When raising a power to another power, we multiply the exponents.(d7)2=d(7×2)=d14
Combine Results: Combine the results from Step 2 and Step 3 to write the final simplified expression.(12d7)2=144∗d14=144d14
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