Fraction Based Exponents

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to raise a fraction to an exponent?

Back

Raising a fraction to an exponent means multiplying the fraction by itself as many times as indicated by the exponent.

Front

Evaluate: (1/2)^4

Back

1/16

Front

Evaluate: (3/4)^2

Back

9/16

Front

Evaluate: (1/3)^1

Back

1/3

Front

Evaluate: (1/3)^3

Back

1/27

Front

Evaluate: (1/4)^2

Back

1/16

Front

What is the result of (a/b)^n?

Back

(a/b)^n = a^n / b^n, where a and b are numbers and n is the exponent.

Front

If the base of a fraction is less than 1, what happens when it is raised to a positive exponent?

Back

The result will be a smaller fraction, approaching zero.

Front

What is the value of (2/3)^0?

Back

1, because any non-zero number raised to the power of 0 is 1.