Students learn how to solve advanced problems that involve multiplying with negative exponents and dividing with negative exponents. For example, to simplify [10a^(-4) x b^0 x c^(-3)]^(-2), we use the power rule, which means multiplying negative exponents, such as -4 x -2 to get 8. So our answer will have an a^8. To simplify the division problems in this lesson, it's tempting to start by dividing negative exponents. However, the quotient rule tells us that we'll be subtracting negative exponents instead. Similarly, to simplify the multiplication problems in this lesson, it's tempting to start by multiplying negative exponents. However, the product rule tells us that we'll be adding negative exponents instead. It's very important to stick to your exponent rules when simplifying expressions with negative exponents.
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