Negative Exponent Rule

Front

What is the Negative Exponent Rule?

Back

The Negative Exponent Rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

When dealing with a negative exponent, we must create a ________________ in order to simplify to positive numbers.

Back

fraction

Tags

CCSS.8.EE.A.1

Front

What does a negative exponent signify?

Back

A negative exponent signifies that the base should be taken as a reciprocal. For example, x^(-2) means 1/(x^2).

Tags

CCSS.8.EE.A.1

Front

Convert 2^(-3) to a positive exponent.

Back

2^(-3) = 1/(2^3) = 1/8.

Tags

CCSS.8.EE.A.1

Front

If a^(-m) = 1/(a^m), what is the value of 3^(-2)?

Back

3^(-2) = 1/(3^2) = 1/9.

Tags

CCSS.8.EE.A.1

Front

What is the result of (x^(-4) * x^2)?

Back

x^(-4) * x^2 = x^(-4 + 2) = x^(-2) = 1/(x^2).

Tags

CCSS.8.EE.A.1

Front

How do you simplify (1/5)^(-2)?

Back

(1/5)^(-2) = 5^2 = 25.

Tags

CCSS.8.EE.A.1

Front

What is the relationship between negative exponents and fractions?

Back

Negative exponents convert to fractions, where the base becomes the denominator. For example, a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

If b^(-3) = 1/(b^3), what is b^(-1)?

Back

b^(-1) = 1/(b^1) = 1/b.

Tags

CCSS.8.EE.A.1

Front

How do you express 10^(-1) in fraction form?

Back

10^(-1) = 1/(10^1) = 1/10.

Tags

CCSS.8.EE.A.1