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^2y^(-5)

Back

x^2/y^5

Front

Write this expression using positive exponent: 9^(-3)

Back

1/9^3

Front

Simplify (evaluate): 3^(-3)

Back

1/27

Front

Are these two equivalent: 2^2 = (-2)^2?

Back

Yes

Front

Which is greater, 2654^0 or 5^0?

Back

They are the same.

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

How do you convert a negative exponent to a positive exponent?

Back

By taking the reciprocal of the base. For example, a^(-n) = 1/(a^n).

Front

Simplify: (x^3)^(-2)

Back

1/(x^6)

Front

What is the result of 10^(-1)?

Back

1/10