Negative exponents

Front

What is a negative exponent?

Back

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

Front

Rewrite 1/125 using a negative exponent.

Back

5^(-3) because 1/125 = 1/(5^3).

Front

How do you rewrite (-5)^-4 using a positive exponent?

Back

1/(-5)^4 because a negative exponent means to take the reciprocal.

Front

What is the positive exponent form of 7^-10?

Back

1/7^10 because a negative exponent indicates the reciprocal.

Front

Rewrite g^-7 using a positive exponent.

Back

1/g^7 because a negative exponent means to take the reciprocal.

Front

Simplify s^-5 ⋅ s^-2.

Back

1/s^7 because when multiplying with the same base, you add the exponents: -5 + (-2) = -7.

Front

What does a negative exponent tell you about the base?

Back

It indicates that the base is in the denominator as a positive exponent.

Front

If x^-3 = 1/x^3, what is x^3 in terms of x^-3?

Back

x^3 = 1/x^-3 because taking the reciprocal of a negative exponent gives the positive exponent.

Front

How do you express 10^-2 in fraction form?

Back

1/10^2 because a negative exponent indicates the reciprocal.

Front

What is the result of (2^-3) * (2^5)?

Back

2^2 because you add the exponents: -3 + 5 = 2.