Properties of Exponents

Front

What is the property of exponents when multiplying powers with the same base?

Back

Add the exponents.

Front

What is the property of exponents when dividing powers with the same base?

Back

Subtract the exponents.

Front

What is the value of x^0 for any non-zero x?

Back

1

Front

What is the result of (a^m)^n?

Back

a^(m*n) (Multiply the exponents).

Front

What is the result of a^m * a^n?

Back

a^(m+n) (Add the exponents).

Front

What is the result of a^m / a^n?

Back

a^(m-n) (Subtract the exponents).

Front

Convert the expression x^(1/2) to radical form.

Back

√x (Square root of x).

Front

Convert the expression x^(3/2) to radical form.

Back

√(x^3) (Square root of x cubed).

Front

Simplify the expression (2^3) * (2^2).

Back

2^5 or 32.

Front

Simplify the expression (5^4) / (5^2).

Back

5^2 or 25.