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e) Perform the indicated operation: 4.55*10-1/6.55x 10-4 Express the answer in scientific notation

Sagot :

4.55 * 10^-1

-------------------

6.55 * 10 ^-4

The first step is to divide the numbers

4.55 / 6.55 = .694656489

Then divide the exponents

When dividing exponents, use the quotient rule

10 ^-1 / 10 ^-4 = 10 ^(-1 - -4) = 10 ^ (-1+4) = 10 ^3

.694656489 * 10 ^3

But we need the answer in scientific notation, which means one number before the decimal

shifting one place to the left and subtract 1 from the exponent

6.94656489 * 10 ^2