Laws of Exponents and Negative Exponents

5²·5⁵=

• 5⁷

• 5³

• 5^-7

• 5^-3

x³·x⁴=

• x⁷

• x¹

• x^-7

• x^-1

Simplify 5³⋅5⁴

• 5⁷

• 5⁻¹

• 5¹²

• 5

Anything raised to a power of zero is always: 

• 0

• 1

• itself

• negative

x^-3

• 1/x³

• 1/x^-3

• 3x

• 1/3x

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.

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

Make this negative exponent positive.
9^-3

• 9³

• 1/9^-3

• 1/9³

• 729

Which of the following are equivalent to the expression 6^-3

• 1/6³

• 6³

• 1/216

• 216