Exponents

Front

What happens to the exponents when we raise a power to another exponent?

Back

We multiply the exponents.

Front

Simplify the expression: (7^6)^3

Back

7^{18}

Front

What happens to the exponents when dividing powers with the same base?

Back

We subtract the exponents.

Front

Simplify the expression: 8^{-5} / 8^{-2}

Back

1/8^{3}

Front

Simplify the expression: 3^{5} x 3^{-3}

Back

3^{2}

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What is the base in the expression 5^3?

Back

The base is 5.

Front

What is the value of 2^0?

Back

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

Front

What is the result of (x^a)^b?

Back

x^{a*b} (When raising a power to another power, multiply the exponents.)

Front

What is the result of x^a / x^b?

Back

x^{a-b} (When dividing powers with the same base, subtract the exponents.)