CRM 1.2 Exponents and Equivalent Expression Review

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

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

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

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

Back

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

Front

What is the value of (-1)^n for odd n?

Back

The value of (-1)^n for odd n is -1.

Front

What is the value of (-1)^n for even n?

Back

The value of (-1)^n for even n is 1.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What is the result of raising a negative number to an even power?

Back

Raising a negative number to an even power results in a positive number.

Front

What is the result of raising a negative number to an odd power?

Back

Raising a negative number to an odd power results in a negative number.

Front

How do you simplify the expression (-a)^n?

Back

The expression (-a)^n can be simplified based on whether n is even or odd: if n is even, it equals a^n; if n is odd, it equals -a^n.