Q. Simplify. Express your answer using a single exponent.(6a3)2
Apply power rule: Apply the power of a power rule.The power of a power rule states that when raising a power to another power, you multiply the exponents. In this case, we have (6a3)2, which means we need to square both the coefficient 6 and the variable term a3.(6a3)2=62×(a3)2
Calculate coefficient square: Calculate the square of the coefficient 6.\ To find 62, we multiply 6 by itself.\ 62=6×6=36
Calculate variable term square: Calculate the square of the variable term a3. To find (a3)2, we multiply the exponent 3 by the exponent 2. (a3)2=a(3×2)=a6
Combine results: Combine the results from Step 2 and Step 3.Now we combine the squared coefficient and the squared variable term to get the final simplified expression.(6a3)2=36×a6
More problems from Powers of a power: variable bases