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, x^-n = 1/x^n.

Front

Simplify: (-x)(-x)(-x)(-x)(-x)(-x)

Back

x^6

Front

Solve: (-8)^-2

Back

1/64

Front

Rewrite using a positive exponent: 7^-10

Back

1/7^10

Front

What is the value of 7^-2?

Back

1/49

Front

How do you simplify expressions with negative exponents?

Back

Convert negative exponents to positive by taking the reciprocal of the base.

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

Simplify: 2x^-5y^7 ⋅ 3x^-4y^-2

Back

6y^5/x^9

Front

What happens when you raise a number to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1: a^0 = 1.