Q. Simplify. Express your answer using a single exponent.(4r2)3
Apply Power Rule: Apply the power to a power rule.The power to a power rule states that when you raise a power to another power, you multiply the exponents. In this case, we have (4r2)3, which means we need to raise both 4 and r2 to the power of 3.(4r2)3=43×(r2)3
Calculate 43: Calculate 43.To find 43, we multiply 4 by itself three times.43=4×4×4=64
Calculate (r2)3: Calculate (r2)3. To find (r2)3, we multiply the exponents 2 and 3. (r2)3=r(2×3)=r6
Combine Results: Combine the results.Now we combine the results from Step 2 and Step 3 to get the final simplified expression.(4r2)3=43×(r2)3=64×r6
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