Simplifying Exponents

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent.

Front

Simplify: 3^2 × 3^33 = ?

Back

3^35

Front

What is the base in the expression 2^3 = 8?

Back

2

Front

Simplify: (x^14)^3 = ?

Back

x^42

Front

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

Back

1

Front

Simplify: (8y^3)^6 = ?

Back

8^6y^18

Front

What does it mean to simplify an expression with exponents?

Back

To simplify means to reduce the expression to its simplest form using exponent rules.

Front

What is the product of powers rule?

Back

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

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the quotient of powers rule?

Back

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