Negative Exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, a^-n = 1/a^n.

Front

What is the value of 2^-1?

Back

1/2

Front

What is the value of 7^-2?

Back

1/49

Front

How do you simplify 2x^-5y^7 ⋅ 3x^-4y^-2?

Back

6y^5/x^9

Front

How do you rewrite 7^-10 using a positive exponent?

Back

1/7^10

Front

How do you rewrite 2w^-13 using a positive exponent?

Back

2/w^13

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What happens when you raise a power to a power?

Back

When raising a power to a power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of (3^2)^-1?

Back

1/9