Q. Simplify. Express your answer using a single exponent.(5z8)2_____________
Apply power of product rule: Apply the power of a product rule.The power of a product rule states that when an entire product is raised to a power, you can apply the exponent to each factor in the product separately.(5z8)2=(5)2×(z8)2
Simplify (5)2: Simplify (5)^2\.Calculate the square of 5\.(5)2=5×5=25
Apply power of power rule: Simplify (z8)2 using 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.(z8)2=z(8×2)=z16
Combine simplified terms: Combine the simplified terms.Now that we have simplified both terms, we can combine them to express the final answer.(5z8)2=25×z16=25z16
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