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Simplify. Rewrite the expression in the form a^(n). a^(5)*a^(-3)=

Simplify.\newlineRewrite the expression in the form \newlineana^{n}.\newlinea5⋅a−3=a^{5} \cdot a^{-3} =

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Evaluate expressions using properties of exponentsright chevron icon

Full solution

Q. Simplify.\newlineRewrite the expression in the form \newlineana^{n}.\newlinea5⋅a−3=a^{5} \cdot a^{-3} =
  1. Apply Exponent Property: To simplify the expression a5⋅a−3a^{5}\cdot a^{-3}, we use the property of exponents that states when multiplying powers with the same base, we add the exponents.\newlineCalculation: a5⋅a−3=a5+(−3)=a2a^{5}\cdot a^{-3} = a^{5 + (-3)} = a^{2}.

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