(x^a)(x^b)
When you have two terms with the same base being multiplied together, you can simplify the expression by adding their exponents
When you have two terms with the same base being multiplied together, you can simplify the expression by adding their exponents. In this case, we have (x^a)(x^b).
To simplify, we add the exponents of x, which gives us x^(a + b). This means that the expression (x^a)(x^b) is equivalent to x raised to the power of (a + b).
For example, let’s say we have (x^2)(x^3). The base, x, is the same in both terms, so we can add the exponents: 2 + 3 = 5. Therefore, (x^2)(x^3) simplifies to x^5.
If the exponents are negative, you will need to apply the rule of subtracting exponents instead of adding. For example, (x^-2)(x^-3) would simplify to x^(-2 – 3) = x^-5.
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