Negative Exponents Review

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the absolute value of the exponent. For example, a^(-n) = 1/(a^n).

Front

How do you simplify an expression with a negative exponent?

Back

To simplify an expression with a negative exponent, rewrite it as the reciprocal of the base raised to the positive exponent. For example, x^(-3) = 1/(x^3).

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is equal to 1. For example, 5^0 = 1.

Front

What is the relationship between positive and negative exponents?

Back

Positive exponents indicate repeated multiplication of the base, while negative exponents indicate repeated division (or taking the reciprocal) of the base.

Front

How do you express 1/(a^n) using negative exponents?

Back

1/(a^n) can be expressed as a^(-n).

Front

What is the simplified form of 7b^3 / a^5?

Back

The expression 7b^3 / a^5 is already in its simplest form.

Front

If x^0 = 1, what can you say about x?

Back

x must be a non-zero number, as zero raised to the power of zero is undefined.

Front

How do you rewrite w^(-13) using positive exponents?

Back

w^(-13) can be rewritten as 1/(w^13).

Front

What is the simplified form of g^(-7)?

Back

g^(-7) can be simplified to 1/(g^7).

Front

What is the value of 5^(-2)?

Back

5^(-2) is equal to 1/(5^2), which simplifies to 1/25.