Evaluate (1.810)/(8.910^-4)

Problem

(1.8⋅10)/(8.9⋅10(−4))

Solution

1. Simplify the numerator by performing the multiplication.

1.8⋅10=18

2. Rewrite the expression using the simplified numerator.

18/(8.9⋅10(−4))

3. Apply the property of exponents 1/(10(−n))=10 to move the power of ten to the numerator.

18/8.9⋅10

4. Divide the decimal values to find the coefficient.

18÷8.9≈2.0224719

5. Multiply the result by the power of ten to find the final value.

2.0224719⋅10000=20224.719

Final Answer

(1.8⋅10)/(8.9⋅10(−4))≈20224.719

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