TOPIC 4: Exponent Rules

Answer explanation

Use the negative exponent rule to move the base with the negative exponent to the denominator and remove the negative sign.

You don't move everything to the denominator!

You don't move negative numbers (like -4). Only numbers with negative exponents.

Answer explanation

If it helps, rearrange the numbers being multiplied so like terms next to each other.

Multiply coefficients normally.

Use the product rule to multiply numbers with exponents. The base stays the same, then ADD the exponents.

Answer explanation

Use the negative exponent rule to move the base with the negative exponent to the denominator and remove the negative sign.

You don't move everything to the denominator!

Answer explanation

When you have an exponent raised to a power, use the power rule and multiply exponents.

If there is no exponent for a number in the parentheses, insert a 1.

Simplify the coefficients with exponents further.

Answer explanation

When you have a number with an exponent raised to a power, you use the power rule and multiply the exponents.

If there isn't an exponent, you can add an exponent of 1.

Do you see that n = 3?

Answer explanation

If there isn't an exponent, add 1.

Answer explanation

If there isn't a number outside the radical (index), you assume it's 2.

Square root is asking what number you multiply twice to get that number.

Answer explanation