Q. Simplify. Express your answer using a single exponent.(6b4)3
Apply Power Separately: Apply the power to both the coefficient and the variable separately.When raising a power to a power, we multiply the exponents, and when raising a coefficient to a power, we simply calculate the power of the number.(6b4)3=63×(b4)3
Calculate Coefficient Power: Calculate the power of the coefficient 63. 63=6×6×6=216
Calculate Variable Power: Calculate the power of the variable b^\(4)^3\. When raising a power to another power, we multiply the exponents. b^\(4)^3 = b^{(4 \times 3)} = b^{12}\
Combine Results: Combine the results from Step 2 and Step 3 to write the expression in simplest form.(6b4)3=63×(b4)3=216×b12=216b12
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