Exponents/Combine Like Terms Flashcard

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

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

Back

The value of any non-zero number raised to the power of 0 is 1. For example, (-9)^0 = 1.

Front

How do you rewrite a number with a negative exponent?

Back

To rewrite a number with a negative exponent, take the reciprocal of the base and change the exponent to positive. For example, 2w^(-13) becomes 2/w^13.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power. For example, in 4q + 3q, you can combine them to get 7q.

Front

Simplify: 4q + 4t + 3q + t

Back

7q + 5t.

Front

What is the result of simplifying the expression 7 - 8c + 3 - 6c?

Back

10 - 14c.

Front

What is the product of two exponents with the same base?

Back

When multiplying two exponents with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the quotient of two exponents with the same base?

Back

When dividing two exponents with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is the power of a power rule in exponents?

Back

The power of a power rule states that when raising an exponent to another exponent, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is a base in an exponent?

Back

The base is the number that is being multiplied by itself in an exponent. For example, in 3^4, 3 is the base.