We see that the bases are both equal to7, and the exponents are11and-9. We use theproduct of powers ruleand sum the two exponents: 711* 7-9= 711 + (-9)= 72 So we obtain: 711* 7-9= 7 * 7 = 49 This calculator simplifies and computes the product of exponents: ...
The same rule applies when multiplying radicals. To see why, remember that you can express a radical as a fractional exponent. For example, a=a1/2 or, in general, ax=a1/x When multiplying two numbers with fractional exponents, you can treat them the same as numbers with integral exponents...
When multiplying expressions that contain radicals, it can be most helpful to remember the product rule for radicals. This rule states that if you have two terms that contain radicals, you can combine them under the same radical symbol if the index is the same. The index of a radical is ...
3) The simplest answer may include a plus sign between two square roots with different bases Can you add square roots together? Square roots can be added together only when the bases (the number in the radical) are the same. Sometimes the bases can be factored in order to make the base...