Q. Simplify. Express your answer using a single exponent.(3a8)3
Apply power rule: Apply the power of a power rule to the expression (3a8)3. The power of a power rule states that when raising a power to another power, you multiply the exponents. In this case, we have an exponent outside the parentheses that needs to be distributed to both the coefficient 3 and the variable a8. (3a8)3=33×(a8)3
Calculate 33: Calculate 33.33 is 3 multiplied by itself three times.33=3×3×3=27
Multiply exponents: Multiply the exponents for (a8)3. According to the power of a power rule, we multiply the exponents 8 and 3. (a8)3=a(8×3)=a24
Combine results: Combine the results from Step 2 and Step 3.We have calculated 33 to be 27 and (a8)3 to be a24. Now we combine these results to express the simplified form of the original expression.(3a8)3=27×a24
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