how do i solve 46.2x10-_{2}

## how do i solve 46.2x10to the power of -2

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# 2 Answers

Hi Vanessa,

46.2 x 10^{-2} = 46.2 ÷ 100 = 0.462

This is because negative exponents show that that term in the expression is really under the division bar.

So, 10^{-2} really means 1 / 10^{2} or 1/100 or ÷ 100

When we divide by 100, the decimal point moves two places to the left in the number.

Hi, Vanessa! All you'll need to do to find your answer is move the decimal point two places to the left because the exponent is 2 and it is negative. If you move the decimal point two places to the left, you arrive at the
**answer:** **.462**. If the exponent was a positive 2, you would have moved the decimal point two places to the right to arrive at the correct answer.