Properties of Exponents

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

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

How do you simplify the expression x^a * x^b?

Back

To simplify x^a * x^b, you add the exponents: x^(a+b).

Front

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

Back

When dividing powers with the same base, subtract the exponents: x^a / x^b = x^(a-b).

Front

How do you simplify the expression (x^m)/(x^n)?

Back

To simplify (x^m)/(x^n), subtract the exponents: x^(m-n).

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents.

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents.

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents: (x^a)^b = x^(a*b).

Front

What is the value of 5^0?

Back

5^0 = 1.

Front

How do you simplify the expression k^2 * k^5?

Back

To simplify k^2 * k^5, add the exponents: k^(2+5) = k^7.