Question

Using the Negative Exponent Property, how can you write an equivalent expression using a positive exponent for

1/7⁻⁶.

Answer 1

To express 1/7⁻⁶ using a positive exponent, flip the base to the numerator and make the exponent positive, resulting in 7⁶.

Step-by-step explanation:

Using the Negative Exponent Property, we can write an equivalent expression using a positive exponent for 1/7⁻⁶ by recognizing that a negative exponent indicates that the number is actually in the denominator rather than the numerator.

In this case, to write 1/7⁻⁶ with a positive exponent, we would flip the base with the negative exponent to the numerator and change the sign of the exponent to be positive:

• 1/7⁻⁶ = 7⁶

This is because by definition, a⁻⁸ = 1/a⁸. Thus, using this property, we remove the negative sign of the exponent by reciprocating the base.