Readers ask: What does a negative exponent mean?

How do you do negative exponents?

Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

What does a negative exponent mean in scientific notation?

A negative exponent shows that the decimal point is shifted that number of places to the left. In scientific notation, the digit term indicates the number of significant figures in the number. As another example, 0.00053 = 5.3 x 104 This number has 2 significant figures. The zeros are only place holders.

What does a negative exponent mean when the base is 10?

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.

What if the exponent is a negative fraction?

The negative exponent means take the reciprocal, or flip the fraction, so, Regarding the fractional exponent, if the expression were telling you to cube, then the 3 would be in the numerator, but the 3 is in the denominator, so, you are supposed to take the third root, or cubed root.

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What is 10 to the negative power of 2?

Negative powers

Name Power Number
tenth −1 0.1
hundredth 2 0.01
thousandth −3 0.001
ten-thousandth (Myriadth) −4 0.000 1

Which way do you move the decimal if the exponent is negative?

When converting from Scientific Notation to a standard or normal notation, use the value of the exponent to determine the number of places to move the decimal point. Move the decimal place to the right if the exponent is positive and move the decimal place to the left if the exponent is negative.

How do you turn a negative number into scientific notation?

To see an exponent that’s negative, write. 00000031 in scientific notation.

  1. Move the decimal place to the right to create a new number from 1 up to 10. So, N = 3.1.
  2. Determine the exponent, which is the number of times you moved the decimal.
  3. Put the number in the correct form for scientific notation.

How do you solve 10 raised to a negative power?

Power of 10: Negative Exponent

  1. In normal course the value of 10n is found by multiplying the base. 10 ‘n’ times in the denominator and putting a 1 in the numerator.
  2. We use a shortcut to solve such problem. We look at the exponent and then write a decimal point followed by as many zeros as one less than exponent and a 1.

How do you simplify exponents?

When dividing two terms with the same base, subtract the exponent in the denominator from the exponent in the numerator: Power of a Power: To raise a power to a power, multiply the exponents. The rules of exponents provide accurate and efficient shortcuts for simplifying variables in exponential notation.

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What if the exponent is 0?

When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power. The zero exponent rule basically says that any base with an exponent of zero is equal to one. For example: x^ = 1.

What does 10 to the 6th mean?

10 to the 6th power means that six 10s will be multiplied together, like this: 10 x 10 x 10 x 10 x 10 x 10.

Why do fractions have negative exponents?

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x^-3, it actually stands for 1/x^3. Not too bad right?

How do you solve negative fractions?

– The negative of a number can be created by multiplying the number by negative one. Placing the negative sign before the entire fraction (subtracting the fraction) is equivalent to adding the same fraction, but with a negative numerator.

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