Q. Simplify. Express your answer using a single exponent.(6z4)2
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. In this case, we have (6z4)2, which means we need to apply the exponent of 2 to both 6 and z4.(6z4)2=62×(z4)2
Calculate 62: Calculate 62.62 means 6 multiplied by itself, which is 36.62=36
Calculate (z4)2: Calculate (z4)2. Using the power of a power rule, we multiply the exponents 4 and 2. (z4)2=z(4∗2)=z8
Combine Results: Combine the results.Now we combine the results from Step 2 and Step 3 to get the final simplified expression.(6z4)2=62×(z4)2=36z8
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