Rules of Exponents

Front

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

Back

The base is 2.

Front

What is the result of raising the expression (\frac{2x^5y^4}{3z^2})^3?

Back

The result is \frac{8x^{15}y^{12}}{27z^6}.

Front

Anything raised to the power of 0 is equal to ________.

Back

1.

Front

What is the EXPONENT in the expression 4^2 = 16?

Back

The exponent is 2.

Front

When raising a power to a power, such as (x^4)^8, you keep the base and _________ the exponents.

Back

multiply.

Front

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

Back

Add the exponents.

Front

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

Back

Subtract the exponents.

Front

What is the result of (x^3)(x^2)?

Back

x^{3+2} = x^5.

Front

What is the result of (x^5)/(x^2)?

Back

x^{5-2} = x^3.

Front

What is the rule for raising a product to a power, such as (ab)^n?

Back

(ab)^n = a^n b^n.