Q. Simplify. Express your answer using a single exponent.(10b8)3
Apply Power Rule: Apply the power to both the coefficient and the variable.When raising a power to a power, we multiply the exponents, and when raising a coefficient to a power, we simply calculate the power of the number.(10b8)3=103×(b8)3
Calculate 103: Calculate 103. 103=10×10×10=1000
Calculate (b8)3: Calculate (b8)3.When raising a power to another power, we multiply the exponents.(b8)3=b(8×3)=b24
Combine Results: Combine the results from Step 2 and Step 3.(10b8)3=103×(b8)3=1000×b24
Write Final Expression: Write the final simplified expression.The final simplified expression is 1000b24.
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