Q. Simplify. Express your answer using a single exponent.(4z4)3
Apply power rule: Apply the power of a power rule.The power of a power rule states that when you raise a power to another power, you multiply the exponents. For the expression (4z4)3, we apply this rule to both the numerical coefficient and the variable with its exponent.(4z4)3=43×(z4)3
Calculate 43: Calculate 43.To simplify 43, we multiply 4 by itself three times.43=4×4×4=64
Multiply z exponents: Multiply the exponents for z.We multiply the exponents of z according to the power of a power rule.(z4)3=z(4×3)=z12
Combine results: Combine the results.We combine the results from Step 2 and Step 3 to get the final simplified expression.(4z4)3=43×(z4)3=64×z12=64z12
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