Algebra Negative Exponents and Scientific Notation

The result of repeated division used to represent very small numbers.

• Negative Exponent

• Scientific Notation

• Standard Form

• Power

A compact way of writing numbers with absolute values that are very large or very small.

• Scientific Notation

• Standard Notation

• Zero Exponent Rule

• Negative Exponent

In a power, the number of times the base is used as a factor.

• Exponent

• Base

• Power

• Term

Convert this number to standard notation: 7.1 x 10⁴

When you see a negative exponent... (check ALL that apply)

• ... if it is in the numerator, flip it to the denominator and make the exponent positive

• ... if it is in the numerator, keep it there and make the exponent positive

• ... if it is in the denominator, keep it there and make the exponent positive

• ... if it is in the denominator, flip it to the numerator and make the exponent positive

According to exponent rules, if you have a negative exponent, you use the ____________________.

• negative

• reciprocal

• positive

It is not proper to write answers with negative exponents. How do we "take care of" negative exponents?

• Write no solution if there is a negative exponent

• Just leave the negative exponent. It is mathematically okay.

If the exponent is a negative number...

• you will get a large number

• you will get a small number

Rewrite using a positive exponent.
w^-13

• -w¹³

• ¹/_w¹³

• ¹/_w^-13

• w¹³

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷

• g⁷

• ¹/_g^-7

• -g⁷